Free Printable 8th Grade Unit 4 Pre-Test/Study Guide

1.

In a child's bank are 11 coins that have a value of S1.85. The coins are either quarters or dimes. How many coins each does child have?

a)

5 quarters

6 dimes

b)

6 quarters

5 dimes

c)

11 dimes

1 quarter

d)

7 quarters

4 dimes

2.

Kevin and John started with the same number of baseball cards in their collections. Kevin collected 4 cards per week and now has 32 cards. John collected 3 cards a week and now has 24 cards. Let $x$ represent the number of cards they began with, and let $y$ represent the number of weeks. Which system of equations represents this situation?

a)

$x+4y=24$

$4x+3y=24$

b)

$x+3y=32$

$x+4y=24$

c)

$x+4y=32$

$x+3y=24$

d)

$7y=56$

$x+7y=56$

3.

Shreya bought 11 pairs of pants for a total

of $780. Dress pants cost $60 and jeans

cost $80. How many of each type of pants

did she buy?

a)

5 dress pants and 6 jeans

b)

9 dress pants and 2 jeans

c)

8 dress pants and 3 jeans

d)

8 dress pants and 2 jeans

4.

Look at the system of equations graphed. What is the solution for the system of equations?

a)

No Solution

b)

(-1, 3)

c)

(1, -3)

d)

(3, -1)

5.

Solve the following systems of equations:

$3x+4y=1$

$2x+8y=6$

a)

(1, 2)

b)

(-1, 1)

c)

(-1, 2)

d)

(2, -1)

6.

All 119 students in the Math Club went on a field trip. Some students rode in cars which hold 3 students each and some students rode in vans which hold 13 students each. How many of each type of vehicle did they use if there were 13 vehicles total?

a)

10 cars and 3 vans

b)

11 cars and 2 vans

c)

5 cars and 8 vans

d)

9 cars and 4 vans

7.

Consider the systems of equations show below.

$y=x+1$

$y=\frac{1}{4}x-2$

Which graph represents the solution to the system?

a)

b)

c)

d)

8.

Using a coordinate plate on your paper, graph the following system of equations. Then, find the point of intersection.

$x+2y=0$

$y=-3x-10$

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9.

Place two values to correctly complete the sentence.

A system of equations is graphed on a coordinate grid.

The best approximation of the x-value solution is _______ and the best approximation of the y-value is _______.

a)

x = 4

y = -1

b)

x = -1

y= 4

c)

x = -4

y = -1

d)

x = 1

y = -4

10.

Solve by elimination:

$9x+9y=-18$

$x+3y=8$

a)

(-7, -5)

b)

(7, 5)

c)

(-7, 5)

d)

(7, -5)

11.

Consider the following system of linear equations shown below:

$-3x-5y=-6$

$-7x+y=-14$

Solve the system using any method. Write your solution to the system and describe how you can prove that your solution is correct.

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12.

The steps are incorrect in more than one area. Correct the errors in the explanation and solve the system correctly.

$-5x-2y=8$

$5x-3y=-13$

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13.

What is the equation of a line that is parallel to $y=2x+1$ that goes through point (5, 4) ?

(a)

14.

The equation of a line that is perpendicular to $y=-4x+10$ and goes through (7, 2) is

(a)

15.

This system of equations is:

a)

Parallel/inconsistent

b)

Perpendicular/inconsistent

c)

Parallel/consistent

d)

Perpendicular/consistent

16.

This system of equations is __________ and is _________.

a)

Neither Parallel or Perpendicular/inconsistent

b)

Perpendicular/Consistent

c)

Perpendicular/Inconsistent

d)

Neither Parallel or Perpendicular/consistent

17.

A student correctly solved a system of equations using the substitution method. The system of equations and the students work are shown.

Explain what the solution -14 = 0 means for this system of equations. What would this system of equations look like graphically?

(Be sure to use mathematical vocabulary in your response.)

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8th Grade Unit 4 Pre-Test/Study Guide

Total questions: 17

Worksheet time: 20mins

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