Free Printable Chapter 5 Practice Test

1.

Which of the follow systems is represented in the given graph?

a)

$y=x-1$

$2x+y=2$

b)

$y=x+1$

$2x+y=2$

c)

$y=-x-1$

$2x-y=2$

d)

$y=-x+1$

$2x+y=2$

2.

Solve by substitution.

You MUST show all your work in order to receive credit for this question.

$x=3y+4$

$3x-5y=8$

a)

$\left(1,1\right)$

b)

$\left(-1,-1\right)$

c)

$\left(-1,1\right)$

d)

$\left(1,-1\right)$

3.

Solve by elimination.

You MUST show all your work in order to receive credit for this question. $5x+2y=7$

$7x+6y=-3$

a)

$\left(3,-4\right)$

b)

$\left(-4,3\right)$

c)

$\left(-3,4\right)$

d)

$\left(4,-3\right)$

4.

What is the x-value of the solution to this system of equations?

You MUST show all your work in order to receive credit for this question. $2x+5y=-2$

$-2x-7y=6$

(a)

5.

Based on the graph, what is the solution to this system of equations?

a)

$\left(2,4\right)$

b)

$\left(4,2\right)$

c)

$\left(6,0\right)$

d)

$\left(0,6\right)$

6.

If you were to solve the following system by elimination, what would have to multiply the top equation by in order to solve for x?

$3x+y=6$

$x+4y=-20$

(a)

7.

Determine if $\left(4,-3\right)$ is the solution to the following system. If not, choose the correct solution.

You MUST show all your work in order to receive credit for this question.

$x-y=4$

$2x+y=5$

a)

Yes it is the solution

b)

No, the correct solution is $\left(3,-1\right)$

c)

No, the correct solution is $\left(-1,3\right)$

d)

No, the correct solution is $\left(-3,4\right)$

8.

How many solutions does this system have?

You MUST show all your work in order to receive credit for this question. $3x-y=2$

$-9x+3y=-6$

a)

One

b)

None

c)

Infinitely Many

9.

Which of the following is the system that best represent this scenario?

"At the baseball stadium, four hot dogs and three bags of candy cost $14.37. Twelve hot dogs and nine bags of candy cost $24.74. What does each hot dogs cost?"

a)

$4h+3c=14.37$ $12h+9c=24.74$

b)

$4h+3c=24.74$ $12h+9c=14.37$

c)

$4h+9c=14.37$ $12h+3c=24.74$

d)

$4h+9c=24.74$ $12h+3c=14.37$

10.

Set up the system and solve by the method of your choice.

'Your next math quiz will be worth 50 points. There will be 15 questions on the test. There will be some questions worth 4 points and some questions worth 3 points. How many 4 point questions will there be on the quiz?"

You MUST show all your work in order to receive credit for this question.

a)

5

b)

10

c)

15

d)

20

11.

At what point do the equations of the following system intersect?

You MUST show all your work in order to receive credit for this question. $4x+3y=7$

$x+2y=-2$

a)

$\left(1,1\right)$

b)

$\left(0,-1\right)$

c)

$\left(4,-3\right)$

d)

$\left(6,-4\right)$

12.

Beth bought 15 tickets to a movie, where adult tickets cost $6 and senior citizen tickets cost $4. She spent a total of $76. Which system of equations will determine the number of adult tickets, a, and the number of senior citizen tickets, s, Beth purchased?

a)

$a+s=15$

$6a+4s=76$

b)

$a+s=15$

$4a+6s=76$

c)

$a+s=76$

$6a+4s=15$

d)

$a+s=76$

$4a+6s=15$

13.

What is the value of the x variable in the solution to this system of equations?

You MUST show all your work in order to receive credit for this question. $6x+3y=33$

$3x-y=4$

(a)

14.

A craft store has 12 identical bags of loose buttons. Each button is perfectly circular and is either a solid black, b, or white, w. Each bag contains 9 more black buttons that white ones. The total number of buttons in all fo the bags is 372. The number of buttons of each color in 1 bag can by found by using the following system of equations:

$b-w=9$

$12\left(b+w\right)=372$

Which ordered pair, $\left(b,w\right)$ , is a reasonable solution for the number of buttons of each color in 1 bag?

You MUST show all your work in order to receive credit for this question.

a)

$\left(11,2\right)$

b)

$\left(20,11\right)$

c)

$\left(29,20\right)$

d)

(15,6)

15.

The graph shows the distance of two cars from Dallas over a 5 hour period. Car A is driving towards the city and Car B is driving away from the city. Based on the graph, how far from Dallas will the two cars be (in miles) when they are the same distance from the city? (Enter a numeric answer only. NO LABELS)

(a)

16.

Which inequality best represents the given graph?

a)

$y<-3x+4$

b)

$y>-3x+4$

c)

$y\le-3x+4$

d)

$y\ge-3x+4$

17.

Which point is not a solution to the given system?

a)

$\left(-2,0\right)$

b)

$\left(-1,1\right)$

c)

$\left(-1,6\right)$

d)

$\left(-6,-2\right)$

18.

Which of the following is the system to this graph?

a)

$y\ge-5$

$y<2$

b)

$y\le2$

$y>-5$

c)

$x<5$

$x\ge2$

d)

$x>-5$

$x\le2$

19.

Match the graph to the system of linear inequalities.

a)

b)

c)

d)

20.

Which of the following IS a solution to this system of linear inequalities?

a)

$\left(1,2\right)$

b)

$\left(0,-1\right)$

c)

$\left(2,17\right)$

d)

$\left(-2,-5\right)$

Chapter 5 Practice Test

Total questions: 20

Worksheet time: 5hrs 0mins

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