Free Printable Midterm algebra 1

1.

What is k?
7k -4 = 5k + 16

a)

k = 20

b)

k = 10

c)

k = 2

2.

What is c?
2c-12 = 9c + 2

a)

c = 14

b)

c = 2

c)

c= -2

3.

s - 10 ≤ 1

a)

s ≤ 11

b)

s ≤ 9

c)

s ≥ 11

d)

s ≥ 9

4.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

5.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

6.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

7.

Solve for x
∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3 x = -6

c)

x = 3 x = -12

d)

x = 6 x = -12

8.

Solve the inequality.
|m| + 5 < 9

a)

m < 4

b)

m < -4

c)

-4 < m < 4

d)

m < 4,-4

9.

Identify the slope and y-intercept of:

y = 1/5x + 5

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

10.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

11.

What is the formula for standard form?

a)

y=mx+b

b)

y-y₁=m(x-x₁)

c)

Ax+By=C

d)

rise÷run

12.

y=mx+b is in which form?

a)

Standard form

b)

point-slope form

c)

variable form

d)

slope intercept form

13.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

14.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

15.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

16.

Is this table a function or not a function?

a)

Function

b)

Not a Function

17.

Which graph shows a relation that is a function?

a)

b)

c)

d)

18.

Evaluate f(t)=-2t²+ 1 for f(-3)

a)

19

b)

37

c)

-17

d)

-11

19.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

20.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

21.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

22.

Describe the transformation of y = f(x) for the new function
y = f(x) - 5

a)

The graph of y = f(x) was shifted to the right 5 units.

b)

The graph of y = f(x) was shifted to the left 5 units.

c)

The graph of y = f(x) was shifted up 5 units.

d)

The graph of y = f(x) was shifted down 5 units.

23.

Which graph represents $y=-\frac{1}{2}x+3$ ?

a)

b)

c)

d)

24.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

25.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

26.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

27.

How many solutions will this system have?

a)

One

b)

Two

c)

No Solution

d)

Infinitely Many Solutions

28.

What is the solution to the system of equations shown?

a)

(3,0)

b)

(0,3)

c)

(0,-2.5)

d)

No solution

29.

Which TWO equations make up the system in the graph shown?

a)

b)

c)

d)

30.

Solve by substitution:

x = -3y - 17

2x + 3y = -7

a)

(1, -20)

b)

(10, 0)

c)

(-5, -2)

d)

(10 , -9)

31.

Solve by substitution:

y = 3x - 8

y = 4 - x

a)

(3,1)

b)

(1,3)

c)

(3,-1)

d)

(3,-1)

32.

Solve by substitution:

y = -5x

x + 3y = 28

a)

(-6, 30)

b)

(-2, 10)

c)

(-2, 39)

d)

No solution

e)

Infinite solutions

33.

Solve by substitution:

y = 8x+1

y = 6x+3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(1, 4)

34.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

35.

Solve by elimination:

3x+7y=23

-3x-7y=-17

a)

No solution

b)

(0, 3)

c)

(-3,3)

d)

(3,3)

36.

Solve by elimination:

4x + 4y = 4

3x + 4y =10

a)

(7,-6)

b)

(-6,7)

c)

(6,7)

d)

(7,6)

37.

Solve the system by the elimination method.

a)

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

b)

$\left(3,2\right)$

c)

$\left(-4,2\right)$

d)

$\left(5,-4\right)$

38.

Which of the following equations match the given graph?

a)

y < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤ 2/5x + 1

d)

y ≥ -2/5x - 1

39.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

40.

Choose the correct inequality for this graph.

a)

b)

c)

d)

41.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

42.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

43.

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

a)

y ≤ 3x and y ≤ -2x + 4

b)

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

c)

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

d)

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

44.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

45.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

46.

This graph represents the inequality y < 3, TRUE or FALSE?

a)

TRUE

b)

FALSE

47.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

48.

Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

49.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

50.

Find h(5) using the equation.

a)

-25

b)

25

c)

3

d)

7

e)

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Midterm algebra 1

Total questions: 50

Worksheet time: 13hrs 30mins

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