Free Printable Unit 5 Test Review (Alg 1)

Worksheets

Unit 5 Test Review (Alg 1)

Total questions: 25

Worksheet time: 1hrs 15mins

Name

Class

Date

What is the solution to the system?

(3, -1)

(2, -6)

No Solution

(6, -2)

How many solutions does this system of equations have?

One Solution

No solution

Infinitely Many Solutions

Two Solutions

What is the solution?

(1, -1)

(-1, 1)

(0, -2)

(0, 1)

Parallel Lines never intersect because...

they have the same slopes.

they have the same y-intercept.

they have different slopes.

they have different y-intercepts.

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

Intersecting lines

Identical lines

Parallel lines

If a system of linear equations has one solution, what does this mean about the two lines?

Parallel lines

the same line

Intersecting lines

Solve for x and y.
y = 2/3x - 2
y = -x + 3

(0,3)

(0,-3)

(3,0)

(-3,0)

Solve:
y = 7x + 9
2y + 2x = -18

(5, 0)

(9, 18)

(-2, -5)

(1, 16)

The ordered pair that satisfies BOTH equations in the system is called the _____________________

system of equations

function

graph

solution

10.

3x + y = 1
y = 4x + 1

(0, -1)

No Solution

(0, 8)

(0, 1)

11.

Solve the following system by using elimination:

3x - 5y = 8

2x + 5y = -3

(1, 5)

(1, -1)

(-1, -1)

12.

Solve the following system by using elimination:

-14x - 10y = -18

7x + 9y = -23

(7, 8)

(8, -7)

(7, -8)

13.

Solve the following system by using elimination:

-2x + 3y = 5

-5x + 2y = 29

(-7, -3)

(-7, 3)

(7, -3)

14.

Solve the following system by using elimination:

-2x - 5y = -15

x + 8y = 13

(5, 1)

(5, -1)

(-5, 1)

15.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

x + y = 15
4x + 2y = 44

4x + 2y = 15
x + y = 44

x = 2y + 44
4x = y + 15

2x - 4y = 44
x - y = 15

16.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Sugar Cookies $5
Oatmeal Cookies $3

Sugar Cookies $4
Oatmeal Cookies $8

Sugar Cookies $2
Oatmeal Cookies $6

Sugar Cookies $3
Oatmeal Cookies $6

17.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

Van 43
Bus 14

Van 11
Bus 21

Van 14
Bus 43

Van 17
Bus 45

18.

Which of the following equations match the given graph?

x ≥ -1

x ≤ -1

x > -1

x < -1

19.

Which of the following equations match the given graph?

y ≥ 2/5x + 1

y ≥ -2/5x + 1

y≤ 2/5x + 1

y ≥ -2/5x - 1

20.

Select the graph for y ≥ 1/3x + 2

21.

Is (-2,4) a solution to the system?

Solution

Not a solution

22.

Match the system to the graph (solution set is on the left)

y ≤ 3x and y ≤ -2x + 4

y > 3x and y > -2x + 4

y < 3x and y > -2x + 3

y > 3x and y < -2x + 4

23.

Solve the system of inequalities by graphing.

24.

Is (0,0) a solution to the system?

Solution

Not a solution

25.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which one of these is a valid solution?

(3, 2)

(1, 4)

(2, 8)

(5, 1)

100 %

Unit 5 Test Review (Alg 1)

Total questions: 25

Worksheet time: 1hrs 15mins

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