Free Printable Pre-Algebra Practice Final 2022

1.

Solve the equation by finding the value of the variable.

$\frac{1}{2}\left(y-24\right)=-8$

y =

(a)

2.

Solve the equation by finding the value of the variable.

$-4h-6=-4h+6$

a)

h = 3

b)

h = -3

c)

There is no solution.

d)

There are infinitely many solutions.

3.

Two polygons are similar. The ratio of their perimeters is 5:15. If the length of the larger polygon is 45, what is the length of the smaller polygon?

(a)

4.

The vertices of a triangle are A(21, 7), B(14, 7) and C(14, -7). If the triangle is dilated by a scale of 1/7 what will the coordinates of A be?

(a)

5.

What is the definition of a Regular Polygon?

a)

All sides are congruent and all interior angles are proportional.

b)

All sides are proportional and all interior angles are congruent.

c)

All sides are equal and all interior and exterior angles are congruent.

d)

All sides are congruent and all interior angles are congruent.

6.

If angle a is 60 degrees, angle b is (x+30) degrees and angle d is 4x degrees, what is the measure of the exterior angle?

(a)

7.

Find the slope and y-intercept of the linear equation.

y = 3x + 2

a)

Slope is 1/3,

y-intercept is 2.

b)

Slope is 3,

y-intercept is 2.

c)

Slope is 1/2,

y-intercept is 3.

d)

Slope is 2,

y-intercept is 3.

8.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

9.

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

10.

If the triangle is reflected across the y-axis, the coordinates of the new triangle will be (5, 0), (2, 3), and ___.

a)

(0, 5)

b)

(4, 3)

c)

(3, 5)

d)

(2, 3)

11.

If the rectangle were rotated 90º clockwise about the origin, what would be the coordinates of Z'?

a)

(2, -2)

b)

(-2, -3)

c)

(2, 2)

d)

(-3, -2)

12.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

13.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

14.

What is the ordered pair for C' if reflected over the y-axis?

a)

(-3, 2)

b)

(3, 2)

c)

(-2, 3)

d)

(3, 0)

15.

The ratio of the figures is 8:5. Find the missing measure.

a)

x = 25.6

b)

x = 25

c)

x = 43

d)

x = 23

16.

(a)

17.

What is the measure of ∠7?

(a)

18.

Solve the equation by finding the value of the variable.

8t + 24 = 4t - 12

t =

(a)

19.

You install 618 feet of fencing around a garden shaped like a quadrilateral. The side lengths are 140 feet, 4x feet, 5x feet and (3x + 10) feet.

What is the value of x?

x =

(a)

20.

Solve for y. 4x - 3y = -2

a)

y = - 5/2 x + 1/2

b)

y = 1/2 x + 3

c)

y = 4/3 x + 2/3

d)

y = 3/4 x - 4

21.

Is 3 a solution for the equation:

$-4\left(7.5x-8\right)=-5\left(6.3x+8\right)$

a)

Yes

b)

No

22.

The ratio of similarity of the figures shown is 5/3. What is the ratio of the areas?

(a)

23.

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?

a)

3 in

b)

2 in.

c)

4 in

d)

1 in

24.

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.

a)

7 in

b)

9 in

c)

12 in

d)

14 in

25.

Which two triangles are congruent?

a)

A and B

b)

A and C

c)

A and D

d)

B and C

e)

B and D

26.

Which side of $\Delta DWY$ corresponds with side AC in $\Delta ABC$ ?

a)

Side WY

b)

Side DW

c)

Side DW

27.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

28.

What is the value of x?

(a)

29.

Find the value of x

(a)

30.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

31.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

32.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

33.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

34.

Slopes of parallel lines are...

a)

opposite reciprocals

b)

equal

c)

opposites

d)

always 7

35.

Slopes of perpendicular lines are...

a)

opposite reciprocals

b)

the same

c)

opposite

d)

always 7

36.

$y=3x+2$ and $y=3x-3$
These lines are...

a)

the same line

b)

perpendicular

c)

neither

d)

parallel

37.

$y=\frac{-2}{3}x+2$ and $y=\frac{3}{2}x+9$

a)

Parallel

b)

Perpendicular

c)

Neither

38.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

39.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

40.

Which graph shows the equation $y=\frac{2}{3}x-3$

a)

b)

c)

d)

41.

Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)

a)

y = 2x + 11

b)

y = 2x + 1

c)

y = 2x - 1

d)

y = 2x - 11

42.

Elena bought an app for $3.00 and spends $1.50 every time she wants to buy an extra bundle of point within the app. Write an equation for the sentence above.

a)

$y=1.50x+3$

b)

$y=3x+1.5$

c)

$y=.15x+3$

d)

$y=\frac{2}{3}x+3$

43.

A tank contains 20 gallons of gasoline. Two gallons are drained out of the tank every minute. Write a function that describes the sentence above.

a)

$y=-20x+2$

b)

$y=-2x+20$

c)

$y=2x+20$

d)

$y=-2x-20$

44.

Write an equation from the table.

a)

$y=-2x+1$

b)

$y=2x+1$

c)

$y=2x-1$

d)

$y=-2x-1$

45.

Write the equation for the line that contains the points (3,2) and (8,17).

(a)

46.

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

47.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

48.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

(a)

49.

Solve the following:
-2 x (3 + 8 ÷ 4)²

(a)

50.

Simplify:
[25-(13+4)+4] ÷ 3

(a)

51.

(15 ÷ 3)² + 9 ÷ 3

(a)

Pre-Algebra Practice Final 2022

Total questions: 51

Worksheet time: 2hrs 43mins

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