Free Printable Semester 1 Final Review

1.

Write a linear equation in slope-intercept form give the point and slope. (-6, -11); slope = 1/2

a)

$y+6=\frac{1}{2}\left(x+6\right)$

b)

$x-2y=16$

c)

$y=\frac{1}{2}x-8$

d)

$y=\frac{1}{2}x-11$

2.

Write a linear equation in point-slope form given the point and slope: (5, -9), slope = -2/5

a)

$y+5=-\frac{2}{5}\left(x-9\right)$

b)

$y-5=-\frac{2}{5}\left(x+9\right)$

c)

$y-9=-\frac{2}{5}\left(x+5\right)$

d)

$y+9=-\frac{2}{5}\left(x-5\right)$

3.

Write an equation in slope-intercept form given the point and slope: (-4, -7); slope = 1

a)

$y+7=x+4$

b)

$y=x-3$

c)

$y=x-7$

d)

$x-y=3$

4.

Write an equation that includes point (4, 5) and is parallel to

y=\frac{3}{4}x-5

a)

$y=\frac{3}{4}x+2$

b)

$y=-\frac{4}{3}x+2$

c)

$y=\frac{3}{4}x+5$

d)

$y=-\frac{4}{3}x+5$

5.

Write an equation that includes the point (3, 5) and is perpendicular to

y=1

a)

$y=x+5$

b)

$y=3$

c)

$x\ =\ 3$

d)

$y=5$

6.

Which equation represents the graph of the function with point (-2, 5) and slope of 3?

a)

$y=3x+5$

b)

$y-5=3\left(x+2\right)$

c)

$3x-y=11$

d)

$y-5=3\left(x-2\right)$

7.

What is the equation and slope of the line shown on the grid?

a)

y = 6; slope is -1

b)

x = 6; slope is zero

c)

y = 6; slope is 6

d)

x = 6; slope is undefined

8.

Solve for the variable.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

9.

Solve for the variable.

-11-5a = 6(5a + 4)

a)

-1

b)

-2

c)

-3

d)

-4

10.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

11.

Solve.

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

12.

How many solutions are there?

2(x + 5) = 2x + 5

a)

one solution

b)

no solution

c)

infinitely many solutions

d)

two solutions

13.

Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x

a)

Distributing -2 to (x - 7)

b)

Combining x and 3x

c)

Subtracting 1 from both sides

d)

5 - 2

14.

Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x

a)

one solution

b)

infinitely many

c)

no solution

15.

3x - 5 > -26

a)

x < -7

b)

x > -7

c)

x > 7

d)

x < 7

16.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

17.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

18.

Graph the solution set of the inequality.

–4n + 1 > –23

a)

b)

c)

d)

19.

Graph the solution set of the inequality.

2n + 4 < 16

a)

b)

c)

d)

20.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

21.

Describe the solution set:

2(x + 5) < 2x + 5

a)

one solution

b)

no solution

c)

infinitely many solutions

d)

two solutions

22.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

23.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

24.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

25.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

26.

Solve:
8x + 4y = 16 , for y

a)

y = -2x + 4

b)

y = 2x - 4

c)

y = 2x + 4

d)

y = -2x - 4

27.

Solve:
12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

28.

What inequality is graphed?

a)

x > 2 and x < 4

b)

x ≥ 2 and x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

29.

Write an inequality for Graph 1.

a)

x < -2 AND x > 5

b)

x < -2 OR x > 5

c)

x > -2 OR x < 5

d)

-2 < x < 5

30.

Solve:

3x + 2 < -4 or 4x + 4 > 28

a)

x < -2 or x > 6

b)

x < 2 or x > 6

c)

x < -2 and x > 6

d)

x < 2 and x > 6

31.

Solve:

6x + 2 < -16 or -4x + 5 < 1

a)

x < -3 and x < 1

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

32.

A system has ____________ when two lines intersect at one point.

a)

One solution

b)

No solution

c)

Infinitely Many Solution

33.

A system has ____________ when two equations are exactly the same and overlap each other.

a)

One solution

b)

No solution

c)

Infinitely Many Solution

34.

Solve by using substitution method.

a)

(2, 7)

b)

(0, 1)

c)

(2/5, 9/5)

d)

(2, 5)

35.

Solve by using elimination method.

a)

(3, 1)

b)

( 5, -5)

c)

(2, 5)

d)

(15, 1)

36.

-4x-2y=-12
4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

37.

5x - 4y =-16
x+ 2y = -6

a)

(-4,-1)

b)

(5,-1)

c)

(-5,-1)

d)

(4,1)

38.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

39.

What is the solution to the systems of equations?

a)

(-7, -9)

b)

(-10, 5)

c)

No Solution

d)

Infinitely Many Solutions

40.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

41.

Which inequality is shown in the graph?

a)

y < 2x + 1

b)

y < -2x + 1

c)

y ≤ 2x + 1

d)

y ≤ -2x + 1

42.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

43.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

44.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

45.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

46.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

$y=\frac{1}{2}x-4$

d)

$y=-\frac{1}{2}x-4$

47.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

48.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

49.

Find the slope between the two points.
(3, 7) and (-4, 2)

a)

⁷/₅

b)

⁵/₇

c)

²/₃

d)

2

50.

Find the slope.

a)

²/₅

b)

^-2/₅

c)

⁵/₂

d)

^-5/₂

51.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

52.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

53.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-1/8

54.

a)

b)

c)

d)

55.

a)

b)

c)

d)

56.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

57.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

58.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

59.

Simplify

a)

x⁴

b)

x⁶

c)

x²⁹

d)

x²⁰

60.

Simplify

a)

w²⁴y⁹

b)

w¹¹y⁶

c)

y³/w⁶

d)

w⁶/y³

Semester 1 Final Review

Total questions: 60

Worksheet time: 2hrs 21mins

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