Question 1

Solve by elimination.
-$2 x+4 y=-5$
$-4 x-8 y=-10$

Accepted Answer

A)  Infinite number of solutions 
B)  $(-10,-20)$ 
C)  No solution 
D)  $(10,20)$ 
A)  Infinite number of solutions 
B)  $(-10,-20)$ 
C)  No solution 
D)  $(10,20)$

Question 2

Solve using the elimination method.
-$5 x-y=26$
$4 x+y=28$

Accepted Answer

A)  $(6,5)$ 
B)  No solution 
C)  $(4,6)$ 
D)  $(6,4)$ 
A)  $(6,5)$ 
B)  No solution 
C)  $(4,6)$ 
D)  $(6,4)$

Question 3

Decide whether or not the ordered pair is a solution of the system.
-$(-3,2)$
$3 \mathrm{x}=11-\mathrm{y}$
$2 \mathrm{x}=12-3 \mathrm{y}$

Accepted Answer

A) True 
 B)False

Question 4

Solve the problem.
-Cindy's bike got a flat tire and she must walk the rest of the way to work. The bike was being ridden at $10 \mathrm{mph}$, and Cindy walks at a speed of $3 \mathrm{mph}$. The distance from home to work is $16 \mathrm{mi}$, and the total time for the trip was $3 \mathrm{hr}$. How far did she have to walk?

Accepted Answer

A)  $1 \mathrm{mi}$ 
B)  $10 \mathrm{mi}$ 
C)  $2 \mathrm{mi}$ 
D)  $6 \mathrm{mi}$ 
A)  $1 \mathrm{mi}$ 
B)  $10 \mathrm{mi}$ 
C)  $2 \mathrm{mi}$ 
D)  $6 \mathrm{mi}$

Question 5

Solve using the elimination method.
-$\begin{aligned} x+y & =2 \ x-y & =12\end{aligned}$

Accepted Answer

A)  $(-7,-4)$ 
B)  No solution 
C)  $(7,-5)$ 
D)  $(6,-4)$ 
A)  $(-7,-4)$ 
B)  No solution 
C)  $(7,-5)$ 
D)  $(6,-4)$

Question 6

Decide whether or not the ordered pair is a solution of the system.
-$(9,6)$
$y=\frac{2}{3} x$
$3 x+y=33$

Accepted Answer

A) True 
 B)False

Question 7

Solve the problem.
-In a chemistry class, 6 liters of a $4 \%$ silver iodide solution must be mixed with a $10 \%$ solution to get a $6 \%$ solution. How many liters of the $10 \%$ solution are needed?

Accepted Answer

A)  $2.0 \mathrm{~L}$ 
B)  $3.0 \mathrm{~L}$ 
C)  $4.0 \mathrm{~L}$ 
D)  $6.0 \mathrm{~L}$ 
A)  $2.0 \mathrm{~L}$ 
B)  $3.0 \mathrm{~L}$ 
C)  $4.0 \mathrm{~L}$ 
D)  $6.0 \mathrm{~L}$

Question 8

Solve the problem.
-Joe has a collection of nickels and dimes that is worth $\$ 5.00$. If the number of dimes were doubled and the number of nickels were increased by 19 , the value of the coins would be $\$ 7.95$. How many dimes does he have?

Accepted Answer

A)  19 dimes 
B)  60 dimes 
C)  20 dimes 
D)  10 dimes 
A)  19 dimes 
B)  60 dimes 
C)  20 dimes 
D)  10 dimes

Question 9

Solve the problem.
-The sum of two angles is $246^{\circ}$. One angle is $21^{\circ}$ less than twice the other. Find the angles.

Accepted Answer

A)  $153^{\circ}$ and $93^{\circ}$ 
B)  $89^{\circ}$ and $157^{\circ}$ 
C)  $87^{\circ}$ and $159^{\circ}$ 
D)  $87^{\circ}$ and $153^{\circ}$ 
A)  $153^{\circ}$ and $93^{\circ}$ 
B)  $89^{\circ}$ and $157^{\circ}$ 
C)  $87^{\circ}$ and $159^{\circ}$ 
D)  $87^{\circ}$ and $153^{\circ}$

Question 10

Solve the problem.
-The sum of two numbers is 37 and their difference is 15 . Find the numbers.

Accepted Answer

A)  13 and 28 
B)  23 and 14 
C)  24 and 13 
D)  26 and 11 
A)  13 and 28 
B)  23 and 14 
C)  24 and 13 
D)  26 and 11

Question 11

Solve the problem.
-From a point on a river, two boats are driven in opposite directions, one at 8 miles per hour and the other at 10 miles per hour. In how many hours will they be 72 miles apart?

Accepted Answer

A)  $5 \mathrm{hr}$ 
B)  $1 \mathrm{hr}$ 
C)  $4 \mathrm{hr}$ 
D)  $6 \mathrm{hr}$ 
A)  $5 \mathrm{hr}$ 
B)  $1 \mathrm{hr}$ 
C)  $4 \mathrm{hr}$ 
D)  $6 \mathrm{hr}$

Question 12

Solve by elimination.
-$-6 x+6 y=-1$
$12 x-12 y=2$

Accepted Answer

A)  Infinite number of solutions 
B)  No solution 
C)  $(-6,6)$ 
D)  $(6,-6)$ 
A)  Infinite number of solutions 
B)  No solution 
C)  $(-6,6)$ 
D)  $(6,-6)$

Question 13

Solve using the elimination method.
-$5 x-y=19$
$-5 x+y=-19$

Accepted Answer

A)  No solution 
B)  $(4,2)$ 
C)  $(1,4)$ 
D)  Infinite number of solutions 
A)  No solution 
B)  $(4,2)$ 
C)  $(1,4)$ 
D)  Infinite number of solutions

Question 14

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 6 bags of $21 \%$ cement to produce a mix containing $10 \%$ cement?

Accepted Answer

A)  22 bags 
B)  13 bags 
C)  11 bags 
D)  17 bags 
A)  22 bags 
B)  13 bags 
C)  11 bags 
D)  17 bags

Question 15

Solve the problem.
-A salesman sold $\$ 100$ more than the rest of the sales staff. If the sales total for the day was $\$ 2100$, how much did the rest of the sales staff sell?

Accepted Answer

A)  $\$ 1100$ 
B)  $\$ 1000$ 
C)  $\$ 2000$ 
D)  $\$ 1050$ 
A)  $\$ 1100$ 
B)  $\$ 1000$ 
C)  $\$ 2000$ 
D)  $\$ 1050$

Question 16

Solve the problem.
-Two cars leave town at the same time going in the same direction. One travels at $40 \mathrm{mph}$ and the other travels at $65 \mathrm{mph}$. In how many hours will they be $150 \mathrm{mi}$ apart?

Accepted Answer

A)  $25 \mathrm{hr}$ 
B)  $6 \mathrm{hr}$ 
C)  $1 \mathrm{hr}$ 
D)  $40 \mathrm{hr}$ 
A)  $25 \mathrm{hr}$ 
B)  $6 \mathrm{hr}$ 
C)  $1 \mathrm{hr}$ 
D)  $40 \mathrm{hr}$

Question 17

Solve by the substitution method.
-$x+7 y=-50$
$4 \mathrm{x}+6 \mathrm{y}=-46$

Accepted Answer

A)  $(-2,-6)$ 
B)  No solution 
C)  $(1,-6)$ 
D)  $(-1,-7)$ 
A)  $(-2,-6)$ 
B)  No solution 
C)  $(1,-6)$ 
D)  $(-1,-7)$

Question 18

Solve by elimination.
-$x-6 y=24$
$-7 x-5 y=20$

Accepted Answer

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

Question 19

Solve the problem.
-Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 31 pounds of feed worth $\$ 0.30$ per pound by mixing one kind worth $\$ 0.22$ per pound with another worth $\$ 0.39$ per pound. How many pounds of the cheaper kind should they use in the mix? Round to the nearest whole pound if necessary.

Accepted Answer

A)  20 pounds 
B)  18 pounds 
C)  16 pounds 
D)  15 pounds 
A)  20 pounds 
B)  18 pounds 
C)  16 pounds 
D)  15 pounds

Question 20

Solve the problem.
-Andy has 18 coins made up of quarters and half dollars, and their total value is $\$ 7.00$. How many quarters does he have?

Accepted Answer

A)  8 quarters 
B)  10 quarters 
C)  13 quarters 
D)  12 quarters 
A)  8 quarters 
B)  10 quarters 
C)  13 quarters 
D)  12 quarters

Solve by elimination. - $2 x+4 y=-5$ $-4 x-8 y=-10$

Solve using the elimination method. - $5 x-y=26$ $4 x+y=28$

Decide whether or not the ordered pair is a solution of the system. - $(-3,2)$ $3 \mathrm{x}=11-\mathrm{y}$ $2 \mathrm{x}=12-3 \mathrm{y}$

Solve using the elimination method. - x+y =2 x-y =12

Decide whether or not the ordered pair is a solution of the system. - $(9,6)$ $y=\frac{2}{3} x$ $3 x+y=33$

Solve the problem. -In a chemistry class, 6 liters of a $4 \%$ silver iodide solution must be mixed with a $10 \%$ solution to get a $6 \%$ solution. How many liters of the $10 \%$ solution are needed?

Solve the problem. -Joe has a collection of nickels and dimes that is worth $\$ 5.00$ . If the number of dimes were doubled and the number of nickels were increased by 19 , the value of the coins would be $\$ 7.95$ . How many dimes does he have?

Solve the problem. -The sum of two angles is $246^{\circ}$ . One angle is $21^{\circ}$ less than twice the other. Find the angles.

Solve the problem. -The sum of two numbers is 37 and their difference is 15 . Find the numbers.

Solve the problem. -From a point on a river, two boats are driven in opposite directions, one at 8 miles per hour and the other at 10 miles per hour. In how many hours will they be 72 miles apart?

Solve by elimination. - $-6 x+6 y=-1$ $12 x-12 y=2$

Solve using the elimination method. - $5 x-y=19$ $-5 x+y=-19$

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 6 bags of $21 \%$ cement to produce a mix containing $10 \%$ cement?

Solve the problem. -A salesman sold $\$ 100$ more than the rest of the sales staff. If the sales total for the day was $\$ 2100$ , how much did the rest of the sales staff sell?

Solve the problem. -Two cars leave town at the same time going in the same direction. One travels at $40 \mathrm{mph}$ and the other travels at $65 \mathrm{mph}$ . In how many hours will they be $150 \mathrm{mi}$ apart?

Solve by the substitution method. - $x+7 y=-50$ $4 \mathrm{x}+6 \mathrm{y}=-46$

Solve by elimination. - $x-6 y=24$ $-7 x-5 y=20$

Solve the problem. -Andy has 18 coins made up of quarters and half dollars, and their total value is $\$ 7.00$ . How many quarters does he have?

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

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

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 13: Systems of Equations

Solve by elimination. - 2x+4y=−52 x+4 y=-52x+4y=−5 −4x−8y=−10-4 x-8 y=-10−4x−8y=−10

Solve using the elimination method. - 5x−y=265 x-y=265x−y=26 4x+y=284 x+y=284x+y=28

Decide whether or not the ordered pair is a solution of the system. - (−3,2)(-3,2)(−3,2) 3x=11−y3 \mathrm{x}=11-\mathrm{y}3x=11−y 2x=12−3y2 \mathrm{x}=12-3 \mathrm{y}2x=12−3y