Question 1

Solve the system by graphing.
-$4 x+3 y=11$
$2 x+3 y=7$

Accepted Answer

A)  $(1,2)$ 
B)  $(4,-1)$ 
C)  No solution 
D)  $(2,1)$ 
A)  $(1,2)$ 
B)  $(4,-1)$ 
C)  No solution 
D)  $(2,1)$

Question 2

Solve the problem.
-Andy has 34 coins made up of quarters and half dollars, and their total value is $\$ 13.50$. How many quarters does he have?

Accepted Answer

A)  20 quarters 
B)  19 quarters 
C)  22 quarters 
D)  14 quarters 
A)  20 quarters 
B)  19 quarters 
C)  22 quarters 
D)  14 quarters

Question 3

Solve the problem.
-The difference between two numbers is 2 . Three times the smaller number minus five times the larger is -34 . What are the numbers?

Accepted Answer

A)  13 and 15 
B)  14 and 16 
C)  11 and 13 
D)  12 and 14 
A)  13 and 15 
B)  14 and 16 
C)  11 and 13 
D)  12 and 14

Question 4

Solve by the substitution method.
-$x+y=4$
$x+y=-7$

Accepted Answer

A)  $(0,0)$ 
B)  $(0,-3)$ 
C)  $(4,-7)$ 
D)  No solution 
A)  $(0,0)$ 
B)  $(0,-3)$ 
C)  $(4,-7)$ 
D)  No solution

Question 5

Solve the problem.
-A contractor mixes concrete from bags of pre- mix for small jobs. How many bags with $4 \%$ cement should he mix with 7 bags of $20 \%$ cement to produce a mix containing $11 \%$ cement?

Accepted Answer

A)  21 bags 
B)  11 bags 
C)  16 bags 
D)  9 bags 
A)  21 bags 
B)  11 bags 
C)  16 bags 
D)  9 bags

Question 6

Solve by elimination.
-$7 x+5 y=20$
$4 x+3 y=12$

Accepted Answer

A)  $(0,5)$ 
B)  No solution 
C)  $(0,4)$ 
D)  $(-1,5)$ 
A)  $(0,5)$ 
B)  No solution 
C)  $(0,4)$ 
D)  $(-1,5)$

Question 7

Solve by elimination.
-$x-5 y=-31$
$7 x-5 y=-37$

Accepted Answer

A)  $(-1,6)$ 
B)  $(-6,-1)$ 
C)  No solution 
D)  $(0,5)$ 
A)  $(-1,6)$ 
B)  $(-6,-1)$ 
C)  No solution 
D)  $(0,5)$

Question 8

Solve the problem.
-A merchant has coffee worth $\$ 40$ a pound that she wishes to mix with 80 pounds of coffee worth $\$$ 70 a pound to get a mixture that can be sold for $\$ 50$ a pound. How many pounds of the $\$ 40$ coffee should be used?

Accepted Answer

A)  $80 \mathrm{lb}$ 
B)  $240 \mathrm{lb}$ 
C)  $120 \mathrm{lb}$ 
D)  $160 \mathrm{lb}$ 
A)  $80 \mathrm{lb}$ 
B)  $240 \mathrm{lb}$ 
C)  $120 \mathrm{lb}$ 
D)  $160 \mathrm{lb}$

Question 9

Decide whether or not the ordered pair is a solution of the system.
-$(12,4)$
$\mathrm{y}=\frac{1}{3} \mathrm{x}$
$2 \mathrm{x}+\mathrm{y}=20$

Accepted Answer

A) True 
 B)False

Question 10

Solve the system by graphing.
-$x=-y$
$y+x=6$

Accepted Answer

A)  $(1,1)$ 
B)  Infinite number of solutions 
C)  No solution 
D)  $(1,5)$ 
A)  $(1,1)$ 
B)  Infinite number of solutions 
C)  No solution 
D)  $(1,5)$

Question 11

Solve the problem.
-An airplane took $5 \mathrm{hr}$ to fly $600 \mathrm{mi}$ against a head wind. The return trip with the same wind took 1 $\mathrm{hr}$. Find the speed of the plane in still air.

Accepted Answer

A)  $240 \mathrm{mph}$ 
B)  $360 \mathrm{mph}$ 
C)  $120 \mathrm{mph}$ 
D)  $600 \mathrm{mph}$ 
A)  $240 \mathrm{mph}$ 
B)  $360 \mathrm{mph}$ 
C)  $120 \mathrm{mph}$ 
D)  $600 \mathrm{mph}$

Question 12

Solve the problem.
-There were 480 people at a play. The admission price was $\$ 2$ for adults and $\$ 1$ for children. The admission receipts were $\$ 740$. How many adults and how many children attended?

Accepted Answer

A)  185 adults and 295 children 
B)  220 adults and 260 children 
C)  260 adults and 220 children 
D)  110 adults and 370 children 
A)  185 adults and 295 children 
B)  220 adults and 260 children 
C)  260 adults and 220 children 
D)  110 adults and 370 children

Question 13

Solve by elimination.
-$x+\frac{1}{4} y=-\frac{23}{30}$

$\frac{1}{4} x-y=\frac{371}{60}$

Accepted Answer

A)  $\left(\frac{11}{15},-6\right)$ 
B)  $\left(6, \frac{11}{15}\right)$ 
C)  $\left(-6,-\frac{11}{15}\right)$ 
D)  $\left(\frac{11}{15}, 6\right)$ 
A)  $\left(\frac{11}{15},-6\right)$ 
B)  $\left(6, \frac{11}{15}\right)$ 
C)  $\left(-6,-\frac{11}{15}\right)$ 
D)  $\left(\frac{11}{15}, 6\right)$

Question 14

Solve the problem.
-Joe has a collection of nickels and dimes that is worth $\$ 4.45$. If the number of dimes were doubled and the number of nickels were increased by 15 , the value of the coins would be $\$ 7.30$. How many dimes does he have?

Accepted Answer

A)  15 dimes 
B)  21 dimes 
C)  10 dimes 
D)  47 dimes 
A)  15 dimes 
B)  21 dimes 
C)  10 dimes 
D)  47 dimes

Question 15

Decide whether or not the ordered pair is a solution of the system.
-$(-1,3)$
$2 \mathrm{x}=5-\mathrm{y}$
$3 \mathrm{x}=9-2 \mathrm{y}$

Accepted Answer

A) True 
 B)False

Question 16

Decide whether or not the ordered pair is a solution of the system.
-$(14,4)$
$\mathrm{y}=\frac{2}{7} \mathrm{x}$
$2 \mathrm{x}+\mathrm{y}=32$

Accepted Answer

A) True 
 B)False

Question 17

Solve by the substitution method.
-$-7 x+9 y=21$
$2 \mathrm{x}+6 \mathrm{y}=-6$

Accepted Answer

A)  $(-4,1)$ 
B)  No solution 
C)  $(-3,1)$ 
D)  $(-3,0)$ 
A)  $(-4,1)$ 
B)  No solution 
C)  $(-3,1)$ 
D)  $(-3,0)$

Question 18

Solve the problem.
-The sum of two angles is $191^{\circ}$. One angle is $28^{\circ}$ less than twice the other. Find the angles.

Accepted Answer

A)  $71^{\circ}$ and $120^{\circ}$ 
B)  $73^{\circ}$ and $118^{\circ}$ 
C)  $114^{\circ}$ and $77^{\circ}$ 
D)  $71^{\circ}$ and $114^{\circ}$ 
A)  $71^{\circ}$ and $120^{\circ}$ 
B)  $73^{\circ}$ and $118^{\circ}$ 
C)  $114^{\circ}$ and $77^{\circ}$ 
D)  $71^{\circ}$ and $114^{\circ}$

Question 19

Solve the system by graphing.
-x = 2
Y = 1

Accepted Answer

A)  $(1,2)$ 
B)  No solution 
C)  $(2,1)$ 
D)  Infinitely many solutions 
A)  $(1,2)$ 
B)  No solution 
C)  $(2,1)$ 
D)  Infinitely many solutions

Question 20

Solve using the elimination method.
-$-x-8 y=-12$
$2 \mathrm{x}+8 \mathrm{y}=8$

Accepted Answer

A)  $(-3,-4)$ 
B)  $(4,1)$ 
C)  No solution 
D)  $(-4,2)$ 
A)  $(-3,-4)$ 
B)  $(4,1)$ 
C)  No solution 
D)  $(-4,2)$

Solve the system by graphing. - $4 x+3 y=11$ $2 x+3 y=7$

Solve the problem. -Andy has 34 coins made up of quarters and half dollars, and their total value is $\$ 13.50$ . How many quarters does he have?

Solve the problem. -The difference between two numbers is 2 . Three times the smaller number minus five times the larger is -34 . What are the numbers?

Solve by the substitution method. - $x+y=4$ $x+y=-7$

Solve the problem. -A contractor mixes concrete from bags of pre- mix for small jobs. How many bags with $4 \%$ cement should he mix with 7 bags of $20 \%$ cement to produce a mix containing $11 \%$ cement?

Solve by elimination. - $7 x+5 y=20$ $4 x+3 y=12$

Solve by elimination. - $x-5 y=-31$ $7 x-5 y=-37$

Solve the problem. -A merchant has coffee worth $\$ 40$ a pound that she wishes to mix with 80 pounds of coffee worth $\$$ 70 a pound to get a mixture that can be sold for $\$ 50$ a pound. How many pounds of the $\$ 40$ coffee should be used?

Decide whether or not the ordered pair is a solution of the system. - $(12,4)$ $\mathrm{y}=\frac{1}{3} \mathrm{x}$ $2 \mathrm{x}+\mathrm{y}=20$

Solve the system by graphing. - $x=-y$ $y+x=6$

Solve the problem. -An airplane took $5 \mathrm{hr}$ to fly $600 \mathrm{mi}$ against a head wind. The return trip with the same wind took 1 $\mathrm{hr}$ . Find the speed of the plane in still air.

Solve the problem. -There were 480 people at a play. The admission price was $\$ 2$ for adults and $\$ 1$ for children. The admission receipts were $\$ 740$ . How many adults and how many children attended?

Solve by elimination. - $x+\frac{1}{4} y=-\frac{23}{30}$ $\frac{1}{4} x-y=\frac{371}{60}$

Solve the problem. -Joe has a collection of nickels and dimes that is worth $\$ 4.45$ . If the number of dimes were doubled and the number of nickels were increased by 15 , the value of the coins would be $\$ 7.30$ . How many dimes does he have?

Decide whether or not the ordered pair is a solution of the system. - $(-1,3)$ $2 \mathrm{x}=5-\mathrm{y}$ $3 \mathrm{x}=9-2 \mathrm{y}$

Decide whether or not the ordered pair is a solution of the system. - $(14,4)$ $\mathrm{y}=\frac{2}{7} \mathrm{x}$ $2 \mathrm{x}+\mathrm{y}=32$

Solve by the substitution method. - $-7 x+9 y=21$ $2 \mathrm{x}+6 \mathrm{y}=-6$

Solve the problem. -The sum of two angles is $191^{\circ}$ . One angle is $28^{\circ}$ less than twice the other. Find the angles.

Solve the system by graphing. -x = 2 Y = 1

Solve using the elimination method. - $-x-8 y=-12$ $2 \mathrm{x}+8 \mathrm{y}=8$

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Equations of Lines and Simplifying Radical Expressions

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Exam 7: Systems of Equations

Solve the system by graphing. - 4x+3y=114 x+3 y=114x+3y=11 2x+3y=72 x+3 y=72x+3y=7

Solve the problem. -Andy has 34 coins made up of quarters and half dollars, and their total value is $13.50\$ 13.50$13.50 . How many quarters does he have?

Solve the problem. -The difference between two numbers is 2 . Three times the smaller number minus five times the larger is -34 . What are the numbers?

Solve by the substitution method. - x+y=4x+y=4x+y=4 x+y=−7x+y=-7x+y=−7

Solve the problem. -A contractor mixes concrete from bags of pre- mix for small jobs. How many bags with 4%4 \%4% cement should he mix with 7 bags of 20%20 \%20% cement to produce a mix containing 11%11 \%11% cement?

Solve by elimination. - 7x+5y=207 x+5 y=207x+5y=20 4x+3y=124 x+3 y=124x+3y=12

Solve by elimination. - x−5y=−31x-5 y=-31x−5y=−31 7x−5y=−377 x-5 y=-377x−5y=−37

Solve the problem. -A merchant has coffee worth $40\$ 40$40 a pound that she wishes to mix with 80 pounds of coffee worth $\$$ 70 a pound to get a mixture that can be sold for $50\$ 50$50 a pound. How many pounds of the $40\$ 40$40 coffee should be used?

Decide whether or not the ordered pair is a solution of the system. - (12,4)(12,4)(12,4) y=13x\mathrm{y}=\frac{1}{3} \mathrm{x}y=31​x 2x+y=202 \mathrm{x}+\mathrm{y}=202x+y=20

Solve the system by graphing. - x=−yx=-yx=−y y+x=6y+x=6y+x=6

Solve the problem. -An airplane took 5hr5 \mathrm{hr}5hr to fly 600mi600 \mathrm{mi}600mi against a head wind. The return trip with the same wind took 1 hr\mathrm{hr}hr . Find the speed of the plane in still air.

Solve the problem. -There were 480 people at a play. The admission price was $2\$ 2$2 for adults and $1\$ 1$1 for children. The admission receipts were $740\$ 740$740 . How many adults and how many children attended?

Solve by elimination. - x+14y=−2330x+\frac{1}{4} y=-\frac{23}{30}x+41​y=−3023​ 14x−y=37160\frac{1}{4} x-y=\frac{371}{60}41​x−y=60371​

Solve the problem. -Joe has a collection of nickels and dimes that is worth $4.45\$ 4.45$4.45 . If the number of dimes were doubled and the number of nickels were increased by 15 , the value of the coins would be $7.30\$ 7.30$7.30 . How many dimes does he have?

Decide whether or not the ordered pair is a solution of the system. - (−1,3)(-1,3)(−1,3) 2x=5−y2 \mathrm{x}=5-\mathrm{y}2x=5−y 3x=9−2y3 \mathrm{x}=9-2 \mathrm{y}3x=9−2y

Decide whether or not the ordered pair is a solution of the system. - (14,4)(14,4)(14,4) y=27x\mathrm{y}=\frac{2}{7} \mathrm{x}y=72​x 2x+y=322 \mathrm{x}+\mathrm{y}=322x+y=32

Solve by the substitution method. - −7x+9y=21-7 x+9 y=21−7x+9y=21 2x+6y=−62 \mathrm{x}+6 \mathrm{y}=-62x+6y=−6

Solve the problem. -The sum of two angles is 191∘191^{\circ}191∘ . One angle is 28∘28^{\circ}28∘ less than twice the other. Find the angles.

Solve the system by graphing. -x = 2 Y = 1

Solve using the elimination method. - −x−8y=−12-x-8 y=-12−x−8y=−12 2x+8y=82 \mathrm{x}+8 \mathrm{y}=82x+8y=8

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Equations of Lines and Simplifying Radical Expressions

Filters

Solve the system by graphing. - $4 x+3 y=11$ $2 x+3 y=7$

Solve the problem. -Andy has 34 coins made up of quarters and half dollars, and their total value is $\$ 13.50$ . How many quarters does he have?

Solve by the substitution method. - $x+y=4$ $x+y=-7$

Solve the problem. -A contractor mixes concrete from bags of pre- mix for small jobs. How many bags with $4 \%$ cement should he mix with 7 bags of $20 \%$ cement to produce a mix containing $11 \%$ cement?

Solve by elimination. - $7 x+5 y=20$ $4 x+3 y=12$

Solve by elimination. - $x-5 y=-31$ $7 x-5 y=-37$

Solve the problem. -A merchant has coffee worth $\$ 40$ a pound that she wishes to mix with 80 pounds of coffee worth $\$$ 70 a pound to get a mixture that can be sold for $\$ 50$ a pound. How many pounds of the $\$ 40$ coffee should be used?

Decide whether or not the ordered pair is a solution of the system. - $(12,4)$ $\mathrm{y}=\frac{1}{3} \mathrm{x}$ $2 \mathrm{x}+\mathrm{y}=20$

Solve the system by graphing. - $x=-y$ $y+x=6$

Solve the problem. -An airplane took $5 \mathrm{hr}$ to fly $600 \mathrm{mi}$ against a head wind. The return trip with the same wind took 1 $\mathrm{hr}$ . Find the speed of the plane in still air.

Solve the problem. -There were 480 people at a play. The admission price was $\$ 2$ for adults and $\$ 1$ for children. The admission receipts were $\$ 740$ . How many adults and how many children attended?

Solve by elimination. - $x+\frac{1}{4} y=-\frac{23}{30}$ $\frac{1}{4} x-y=\frac{371}{60}$

Solve the problem. -Joe has a collection of nickels and dimes that is worth $\$ 4.45$ . If the number of dimes were doubled and the number of nickels were increased by 15 , the value of the coins would be $\$ 7.30$ . How many dimes does he have?

Decide whether or not the ordered pair is a solution of the system. - $(-1,3)$ $2 \mathrm{x}=5-\mathrm{y}$ $3 \mathrm{x}=9-2 \mathrm{y}$

Decide whether or not the ordered pair is a solution of the system. - $(14,4)$ $\mathrm{y}=\frac{2}{7} \mathrm{x}$ $2 \mathrm{x}+\mathrm{y}=32$

Solve by the substitution method. - $-7 x+9 y=21$ $2 \mathrm{x}+6 \mathrm{y}=-6$

Solve the problem. -The sum of two angles is $191^{\circ}$ . One angle is $28^{\circ}$ less than twice the other. Find the angles.

Solve using the elimination method. - $-x-8 y=-12$ $2 \mathrm{x}+8 \mathrm{y}=8$