Question 1

Solve the problem.
-The perimeter of a rectangle is $38 \mathrm{~cm}$. One side is $9 \mathrm{~cm}$ longer than the other side. Find the lengths of the sides.

Accepted Answer

A)  $8 \mathrm{~cm}, 17 \mathrm{~cm}$ 
B)  $5 \mathrm{~cm}, 14 \mathrm{~cm}$ 
C)  $5 \mathrm{~cm}, 9 \mathrm{~cm}$ 
D)  $10 \mathrm{~cm}, 19 \mathrm{~cm}$ 
A)  $8 \mathrm{~cm}, 17 \mathrm{~cm}$ 
B)  $5 \mathrm{~cm}, 14 \mathrm{~cm}$ 
C)  $5 \mathrm{~cm}, 9 \mathrm{~cm}$ 
D)  $10 \mathrm{~cm}, 19 \mathrm{~cm}$

Question 2

Solve the problem.
-Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 15 coins with a total face value of $\$ 2.35$, how many of the coins are nickels?

Accepted Answer

A)  8 nickels 
B)  13 nickels 
C)  7 nickels 
D)  9 nickels 
A)  8 nickels 
B)  13 nickels 
C)  7 nickels 
D)  9 nickels

Question 3

Solve the problem.
-James walks and jogs to his favorite coffee shop to study each weekend. He averages $3 \mathrm{mph}$ walking and $4 \mathrm{mph}$ jogging. The distance from his home to the coffee shop is $13 \mathrm{mi}$, and he makes the trip in $4 \mathrm{hr}$. How long does James jog?

Accepted Answer

A)  $2 \mathrm{hr}$ 
B)  $1 \mathrm{hr}$ 
C)  $4 \mathrm{hr}$ 
D)  $3 \mathrm{hr}$ 
A)  $2 \mathrm{hr}$ 
B)  $1 \mathrm{hr}$ 
C)  $4 \mathrm{hr}$ 
D)  $3 \mathrm{hr}$

Question 4

Solve the problem.
-There were 350 people at a play. The admission price was $\$ 2$ for adults and $\$ 1$ for children. The admission receipts were $\$ 540$. How many adults and how many children attended?

Accepted Answer

A)  160 adults and 190 children 
B)  135 adults and 215 children 
C)  190 adults and 160 children 
D)  80 adults and 270 children 
A)  160 adults and 190 children 
B)  135 adults and 215 children 
C)  190 adults and 160 children 
D)  80 adults and 270 children

Question 5

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 2 hr. Find the speed of the plane in still air.

Accepted Answer

A)  $300 \mathrm{mph}$ 
B)  $90 \mathrm{mph}$ 
C)  $120 \mathrm{mph}$ 
D)  $210 \mathrm{mph}$ 
A)  $300 \mathrm{mph}$ 
B)  $90 \mathrm{mph}$ 
C)  $120 \mathrm{mph}$ 
D)  $210 \mathrm{mph}$

Question 6

Solve the problem.
-In a right triangle, one acute angle is $54^{\circ}$ more than twice the other. Find each acute angle.

Accepted Answer

A)  $12^{\circ}$ and $78^{\circ}$ 
B)  $21^{\circ}$ and $69^{\circ}$ 
C)  $37^{\circ}$ and $53^{\circ}$ 
D)  $28^{\circ}$ and $62^{\circ}$ 
A)  $12^{\circ}$ and $78^{\circ}$ 
B)  $21^{\circ}$ and $69^{\circ}$ 
C)  $37^{\circ}$ and $53^{\circ}$ 
D)  $28^{\circ}$ and $62^{\circ}$

Question 7

Solve the system by graphing.
-x = 5
Y = 3

Accepted Answer

A)  Infinitely many solutions 
B)  $(3,5)$ 
C)  No solution 
D)  $(5,3)$ 
A)  Infinitely many solutions 
B)  $(3,5)$ 
C)  No solution 
D)  $(5,3)$

Question 8

Solve the problem.
-Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $\$ 1.00$ each and Kathy selling adult tickets for $\$ 5.50$ each. If their total income for 16 tickets was $\$ 38.50$, how many did Ron sell?

Accepted Answer

A)  11 tickets 
B)  13 tickets 
C)  5 tickets 
D)  10 tickets 
A)  11 tickets 
B)  13 tickets 
C)  5 tickets 
D)  10 tickets

Question 9

Solve using the elimination method.
-$-x-7 y=38$
$-6 x+7 y=-17$

Accepted Answer

A)  No solution 
B)  $(5,-3)$ 
C)  $(-2,-6)$ 
D)  $(-3,-5)$ 
A)  No solution 
B)  $(5,-3)$ 
C)  $(-2,-6)$ 
D)  $(-3,-5)$

Question 10

Solve the problem.
-A merchant has coffee worth $\$ 30$ a pound that she wishes to mix with 30 pounds of coffee worth $\$$ 80 a pound to get a mixture that can be sold for $\$ 60$ a pound. How many pounds of the $\$ 30$ coffee should be used?

Accepted Answer

A)  $20 \mathrm{lb}$ 
B)  $25 \mathrm{lb}$ 
C)  $50 \mathrm{lb}$ 
D)  $10 \mathrm{lb}$ 
A)  $20 \mathrm{lb}$ 
B)  $25 \mathrm{lb}$ 
C)  $50 \mathrm{lb}$ 
D)  $10 \mathrm{lb}$

Question 11

Solve the system by graphing.
-$3 x+2 y=5$
$-6 x-4 y=5$

Accepted Answer

A)  $(1,1)$ 
B)  $(-1.5,-1)$ 
C)  No solution 
D)  $(1.5,-1)$ 
A)  $(1,1)$ 
B)  $(-1.5,-1)$ 
C)  No solution 
D)  $(1.5,-1)$

Question 12

Solve the system by graphing.
-$3 x+4 y=25$
$2 x+3 y=17$

Accepted Answer

A)  $(1,7)$ 
B)  No solution 
C)  $(3,11)$ 
D)  $(7,1)$ 
A)  $(1,7)$ 
B)  No solution 
C)  $(3,11)$ 
D)  $(7,1)$

Question 13

Solve by the substitution method.
-$x+8 y=-3$
$2 x+9 y=-6$

Accepted Answer

A)  $(3,-1)$ 
B)  No solution 
C)  $(-2,-3)$ 
D)  $(-3,0)$ 
A)  $(3,-1)$ 
B)  No solution 
C)  $(-2,-3)$ 
D)  $(-3,0)$

Question 14

Solve the problem.
-A boat traveled for $3 \mathrm{hr}$ with a 7 -mph current to reach a picnic area. The return trip against the same current took $6 \mathrm{hr}$. Find the speed of the boat in still water.

Accepted Answer

A)  $49 \mathrm{mph}$ 
B)  $21 \mathrm{mph}$ 
C)  $28 \mathrm{mph}$ 
D)  $84 \mathrm{mph}$ 
A)  $49 \mathrm{mph}$ 
B)  $21 \mathrm{mph}$ 
C)  $28 \mathrm{mph}$ 
D)  $84 \mathrm{mph}$

Question 15

Solve by elimination.
-$x-6 y=-32$
$-7 x-7 y=-21$

Accepted Answer

A)  $(-3,6)$ 
B)  $(-2,5)$ 
C)  No solution 
D)  $(2,6)$ 
A)  $(-3,6)$ 
B)  $(-2,5)$ 
C)  No solution 
D)  $(2,6)$

Question 16

Solve the system by graphing.
-$3 x+y=10$
$6 x+2 y=20$

Accepted Answer

A)  No solution 
B)  Infinite number of solutions 
C)  $(5,-5)$ 
D)  $(0,10)$ 
A)  No solution 
B)  Infinite number of solutions 
C)  $(5,-5)$ 
D)  $(0,10)$

Question 17

Solve by the substitution method.
-$x+y=-4$
$x+y=-2$

Accepted Answer

A)  $(-4,-2)$ 
B)  $(0,0)$ 
C)  $(0,-6)$ 
D)  No solution 
A)  $(-4,-2)$ 
B)  $(0,0)$ 
C)  $(0,-6)$ 
D)  No solution

Question 18

Decide whether or not the ordered pair is a solution of the system.
-$(-2,6)$
$3 \mathrm{x}=0-\mathrm{y}$
$2 \mathrm{x}=14-3 \mathrm{y}$

Accepted Answer

A) True 
 B)False

Question 19

Solve the system by graphing.
-$4 x+y=-13$
$x+4 y=8$

Accepted Answer

A)  $(-3,-1)$ 
B)  $(-4,-5)$ 
C)  $(4,3)$ 
D)  $(-4,3)$ 
A)  $(-3,-1)$ 
B)  $(-4,-5)$ 
C)  $(4,3)$ 
D)  $(-4,3)$

Question 20

Solve using the substitution method.
-$\begin{aligned} x & +y=-5 \ y & =-5 x+3\end{aligned}$

Accepted Answer

A)  $(1,-5)$ 
B)  $(3,-15)$ 
C)  $(2,-7)$ 
D)  $(-7,2)$ 
A)  $(1,-5)$ 
B)  $(3,-15)$ 
C)  $(2,-7)$ 
D)  $(-7,2)$

Solve the problem. -The perimeter of a rectangle is $38 \mathrm{~cm}$ . One side is $9 \mathrm{~cm}$ longer than the other side. Find the lengths of the sides.

Solve the problem. -Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 15 coins with a total face value of $\$ 2.35$ , how many of the coins are nickels?

Solve the problem. -James walks and jogs to his favorite coffee shop to study each weekend. He averages $3 \mathrm{mph}$ walking and $4 \mathrm{mph}$ jogging. The distance from his home to the coffee shop is $13 \mathrm{mi}$ , and he makes the trip in $4 \mathrm{hr}$ . How long does James jog?

Solve the problem. -There were 350 people at a play. The admission price was $\$ 2$ for adults and $\$ 1$ for children. The admission receipts were $\$ 540$ . How many adults and how many children attended?

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 2 hr. Find the speed of the plane in still air.

Solve the problem. -In a right triangle, one acute angle is $54^{\circ}$ more than twice the other. Find each acute angle.

Solve the system by graphing. -x = 5 Y = 3

Solve the problem. -Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $\$ 1.00$ each and Kathy selling adult tickets for $\$ 5.50$ each. If their total income for 16 tickets was $\$ 38.50$ , how many did Ron sell?

Solve using the elimination method. - $-x-7 y=38$ $-6 x+7 y=-17$

Solve the problem. -A merchant has coffee worth $\$ 30$ a pound that she wishes to mix with 30 pounds of coffee worth $\$$ 80 a pound to get a mixture that can be sold for $\$ 60$ a pound. How many pounds of the $\$ 30$ coffee should be used?

Solve the system by graphing. - $3 x+2 y=5$ $-6 x-4 y=5$

Solve the system by graphing. - $3 x+4 y=25$ $2 x+3 y=17$

Solve by the substitution method. - $x+8 y=-3$ $2 x+9 y=-6$

Solve the problem. -A boat traveled for $3 \mathrm{hr}$ with a 7 -mph current to reach a picnic area. The return trip against the same current took $6 \mathrm{hr}$ . Find the speed of the boat in still water.

Solve by elimination. - $x-6 y=-32$ $-7 x-7 y=-21$

Solve the system by graphing. - $3 x+y=10$ $6 x+2 y=20$

Solve by the substitution method. - $x+y=-4$ $x+y=-2$

Decide whether or not the ordered pair is a solution of the system. - $(-2,6)$ $3 \mathrm{x}=0-\mathrm{y}$ $2 \mathrm{x}=14-3 \mathrm{y}$

Solve the system by graphing. - $4 x+y=-13$ $x+4 y=8$

Solve using the substitution method. - x +y=-5 y =-5x+3

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Decimal Notation

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Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

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Exam 13: Systems of Equations

Solve the problem. -The perimeter of a rectangle is 38 cm38 \mathrm{~cm}38 cm . One side is 9 cm9 \mathrm{~cm}9 cm longer than the other side. Find the lengths of the sides.

Solve the problem. -Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 15 coins with a total face value of $2.35\$ 2.35$2.35 , how many of the coins are nickels?

Solve the problem. -There were 350 people at a play. The admission price was $2\$ 2$2 for adults and $1\$ 1$1 for children. The admission receipts were $540\$ 540$540 . How many adults and how many children attended?

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 2 hr. Find the speed of the plane in still air.

Solve the problem. -In a right triangle, one acute angle is 54∘54^{\circ}54∘ more than twice the other. Find each acute angle.