Free Printable A1 Unit 4 Summative Review

1.

Plumber A charges $60 an hour. Plumber B charges $40 to visit your home plus $55 for each hour. Select the correct system of linear equations that model the problem.

a)

y=60x

y=55x+40

b)

$y=40x$
$y=60x+55$

2.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

3.

The graph represents a system of linear equations. How many solution(s) does the system have?

a)

two

b)

one

c)

No solutions

d)

Infinite solutions

4.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

5.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

6.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

7.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

8.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

9.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

10.

Solve the following system of equations using any method. Which of the following is the solution to the system?

a)

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

b)

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

c)

$\left(2,6\right)$

d)

$\left(6,2\right)$

11.

Solve the following system of equations using any method. Which of the following is the solution to the system?

a)

$\left(-1,-12\right)$

b)

$\left(1,\ -12\right)$

c)

$\left(1,12\right)$

d)

$\left(-1,12\right)$

12.

Solve the following system of equations using any method. Which of the following is the solution to the system?

a)

$\left(-1,-3\right)$

b)

$\left(1,3\right)$

c)

$\left(-1,3\right)$

d)

$\left(1,-3\right)$

13.

Solve the following system of equations using any method. Which of the following is the solution to the system?

a)

$\left(-6,-9\right)$

b)

$\left(6,9\right)$

c)

$\left(-6,9\right)$

d)

$\left(6,-9\right)$

14.

After converting the following equation from standard form to slope intercept form, what will the following equation be?

$3x-6y=12$

(Don't type in any spaces)

(a)

15.

Match the following systems to their number of solutions:

a)

1.

One solution.

b)

2.

No solutions.

c)

y=2x+3

y-2x=3

(Hint: Rearrange)

3.

Infinite solutions.

16.

Which method would work best for this system?

y-x=12

y=2x

a)

Elimination

b)

Substitution

17.

Match the following systems to their solutions.

a)

1.

(1,-1)

b)

2.

(0,0)

c)

3.

(1,2)

d)

4.

No solutions.

18.

One brand of suntan lotion comes in a small size with x ounces of lotion and a regular size with y ounces of lotion. Given the equations below how can we eliminate the terms with x?
x+2y = 15
2x + y = 19.5

a)

subtract the two equations from each other

b)

multiply the second equation by -1 and add the two equations

c)

multiply first equation by 2, multiply the second equation by 1 then add them

d)

multiply the first equation by -2 then add the equations together

19.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

1.5x+0.5y=78.5
x+y=87

b)

1.5x+0.5y=78.5
1.5x+0.5y=87

c)

x+y=78.5
1.5x+0.5y=87

d)

x+y=78.5
x+y=87

A1 Unit 4 Summative Review

Total questions: 19

Worksheet time: 29mins

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