Free Printable Math 1 Midterm (2021)

1.

2d + 7 = 9

a)

1

b)

7

c)

4

d)

3

2.

11 = 3z + 5

a)

2

b)

6

c)

1

d)

4

3.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

4.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

5.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

6.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

7.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

8.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

9.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

10.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

11.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

12.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

13.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

14.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

15.

Product of 4 and p

a)

4/p

b)

4p

c)

12/4p

d)

12/4x

16.

Which property is demonstrated by the following equation:

4x-6y = 3(x-1)?

a)

Distributive

b)

Closure

c)

Associative

d)

Commutative

17.

3x - 4 = x + 10

a)

x = 7

b)

x = -7

c)

x = 0

d)

x = 4

18.

x + 7 = 2x + 2

a)

x = -4

b)

x = -5

c)

x = 3

d)

x = 5

19.

If 3t+p=K, then t is equal to:

a)

$\frac{K-p}{3}$

b)

$\frac{K+p}{3}$

c)

$3$

d)

$\frac{Kp}{3}$

20.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

21.

7(1 - y) = -3(y - 2)

a)

x = 1/4

b)

x = 4

c)

x = 5

22.

2x - 3 ≥ 4x - 1

a)

x ≤ -1

b)

x ≥ -1

c)

x ≤ 1

d)

x ≥ 1

23.

-1(2x + 4) ≥ 6

a)

x ≤ -5

b)

x ≥ -5

c)

x ≤ -1

d)

x ≥ -1

24.

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 and $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

a)

0.85x + 375 > 450

b)

0.85x + 375 < 450

c)

0.85 + 375x > 450

d)

0.85 + 375x < 450

25.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

26.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

27.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

28.

| x + 3 | ≤ 2

a)

No Solution

b)

All Real Numbers

c)

-5 ≤ x ≤ -1

d)

1 ≤ x ≤ 5

29.

| n + 2 | - 3 ≥ -6

a)

No Solution

b)

All Real Numbers

c)

n ≤ -5 or n ≥ 1

d)

-5 ≤ n ≤ 1

30.

What is the solution of ∣5x-2∣=7x+14?

a)

x=-1

b)

x=-1, x=-8

c)

x=-8

d)

no solutions

31.

What is the quotient of 1,050 and 14?

a)

75

b)

81

c)

91

d)

101

32.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

33.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

34.

Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

(−6, 10)

d)

(6, 4)

35.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

36.

Solve by elimination:

4x+9y=28

-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

37.

Solve:
y = 5x + 9
2y + 2x = -18

a)

(5, 0)

b)

(3, 6)

c)

(-3, -6)

d)

(1, 16)

38.

What is the solution to this system?
x= 7 - 2y
2x + y = 5

a)

(-1,4)

b)

(4,-1)

c)

(1,3)

d)

(3,1)

39.

What is the solution to this system?
y= 4x + 3
2x - 3y = 21

a)

(3,-9)

b)

(-3,-9)

c)

(-3,9)

d)

(0,1)

40.

When graphed, where is the solution to a system of equations?

a)

The y-intercept

b)

The x-intercept

c)

The point of intersection

d)

The origin

41.

If a system of linear equations has no solution, what do you know about the graphs of the equations?

a)

The lines are parallel

b)

The lines are perpendicular

c)

The lines intersect

d)

The lines have different slopes

42.

If a system has infinitely many solutions, what must be true?

a)

The lines have the same slope and y-intercept

b)

The lines have the same slope but different y-intercepts

c)

The lines have different slopes but the same y-intercept

d)

The lines have different slopes and y-intercepts

43.

Solve the system.
x − y = 11
2x + y = 19

a)

(-1, 10)

b)

(30, 19)

c)

(19, 30)

d)

(10, -1)

44.

Solve the system.

4x + 12y = −1
−3x − 9y = 0

a)

(10, 1)

b)

(−10, −1)

c)

(10, −1)

d)

No solution

45.

Solve the system of equations.

a)

(10, 3)

b)

(6, 3)

c)

(15, 3)

d)

No solution

e)

Infinite Solution

46.

Solve the system of equations.

a)

(-6, 30)

b)

(-2, 10)

c)

(44, 39)

d)

No solution

e)

Infinite solutions

47.

Solve the system of equations.

a)

(3, -24)

b)

(0, 4)

c)

(-24, 3)

d)

No solution

e)

Infinite solutions

48.

Solve the system of equations.

a)

(-6, 1)

b)

(-12, -12)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

49.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

50.

The solution (x, y) to a system of equations is the point where they...?

a)

Run off the graph

b)

Don't touch

c)

Intersect

d)

Exist

51.

Is (1,10) a solution to

y=7x+5

y=x+9

a)

yes

b)

no

52.

Is (1,7) a solution for

y=3x+4

y=x+6

a)

yes

b)

no

53.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

54.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

55.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

56.

Find the value of y when x = 2.

a)

2

b)

6

c)

7

d)

8

57.

Find the slope of the line.

a)

Undefined

b)

0

c)

1/1

d)

-1/1

58.

Which equation represents the graph?

a)

x = 2

b)

y = 2

c)

y = 2x

d)

y = undefined

59.

What is coordinate L?

a)

(6,6)

b)

(2,5)

c)

(2,3)

d)

(5,2)

60.

Slope is describe as

a)

$\frac{rise}{run}$

b)

$\frac{run}{rise}$

61.

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

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

62.

For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

63.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 4 = -1/4(x - 7)

d)

y - 7 = -1/4(x - 4)

64.

What is the y-intercept?

y = 6x - 4

a)

6

b)

6x

c)

-4

d)

4

65.

y -intercept is where the line ______________.

a)

begins

b)

crosses the x-axis

c)

crosses the y-axis

d)

crosses each other

Math 1 Midterm (2021)

Total questions: 65

Worksheet time: 16hrs 15mins

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