Free Printable Math 1 Semester 1 Final exam Review

1.

The solution is:

a)

k = -2

b)

k = 12

c)

k = 4

d)

k = 7

2.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

3.

Solve.

a)

5

b)

8

c)

-5

d)

7

4.

a)

x= 9 1/3

b)

x = 21/4

c)

x = 5 1/4

d)

None of the above

5.

a)

x = 55

b)

x = 60

c)

x = 17.5

d)

x = 45

6.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

7.

$\frac{1}{2x+5}=\frac{2}{x-2}$

a)

x=5/8

b)

x=8/5

c)

x=4

d)

x=-4

8.

$\frac{6}{x}-7=17$

a)

x=4

b)

x=-4

c)

x=1/4

d)

x=-1/4

9.

Solve for x
l 2x−1 l +4 = 8

a)

x = 2.5 and x = -1.5

b)

x = 2 and x = -1

c)

x = -2 and x = 9

d)

No Solution

10.

Solve for x
3 l 4w−1 l −5 = 10

a)

x = 1.5 and x =-1

b)

x = -1.5 and x = 1

c)

x =1 and x = -1

d)

No Solution

11.

$\left|2x+3\right|-4=-6$

a)

x=-5/2, -4

b)

x=-5/2

c)

All Real Numbers

d)

No Solution

e)

x=-4

12.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

13.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

14.

8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

15.

5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

16.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

17.

a)

h=V/(3πr²)

b)

h=(3V)/(πr²)

c)

h=V/(3πr²)

d)

h=(3π)/(Vr²)

18.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

19.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

20.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

21.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

22.

Which could be a possible solution?

a)

8

b)

18

c)

16

d)

22

23.

Solve:

a)

x < 24

b)

x < 3

c)

x > 24

d)

x < 10.3333....

24.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

25.

2<x+2<5

a)

0<x<3

b)

4<x<7

c)

4<x<3

d)

0<x<7

26.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

27.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

28.

Solve:
3 | 2x + 7| - 7 < -4

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

29.

An exact location in space with no length or width.

a)

Ray

b)

Point
Point

c)

Line

d)

Line segment

30.

Name the image

a)

Line

b)

Ray

c)

Line segment

d)

Angle

31.

Name the Image

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

32.

A plane is named by...

a)

Any 1 point on the plane.

b)

Any 3 collinear points on the plane or a lowercase script letter.

c)

Any 3 non-collinear points on the plane or an uppercase script letter.

d)

All points on the plane that aren't part of a line.

33.

Two lines intersect at a ....

a)

angle

b)

point

c)

line

d)

intersection

34.

Two planes intersect at a...

a)

line

b)

point

c)

plane

d)

letter

35.

An example of coplaner points

a)

D, E, B

b)

C, B, A

c)

M, E, C

d)

A, F, E

36.

Give another name for line k.

a)

Line BC

b)

Line BCE

c)

Line ED

d)

Line k is the only name, there isn't another name.

37.

How would you describe points I, L, C?

a)

collinear

b)

non-coplanar

c)

symmetric

d)

coplanar

38.

True or False: Points B, C, and D are coplanar.

a)

True

b)

False

39.

True or False: Points A, B, and C are collinear.

a)

True

b)

False

40.

Give another name for line b

a)

a

b)

R

c)

KL

d)

HK

41.

Choose the correct name for the angle marked $\angle4.$

a)

$\angle K$

b)

$\angle KVJ$

c)

$\angle LVK$

d)

$\angle JKV$

42.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

43.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

44.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

42 miles

c)

37 miles

d)

40 miles

45.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

46.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

47.

What is the Domain of this linear function?

a)

-3 < x ≤ 5

b)

x = -1

c)

5 < x ≤ -3

d)

-2 < x ≤ 6

48.

a)

Function

b)

Not a Function

49.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

50.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

51.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

52.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

53.

Find f(2)

a)

5

b)

4

c)

3

d)

0

54.

Find f(-1)

a)

-3

b)

15

c)

19

d)

17

55.

Find f(1)

a)

1

b)

2

c)

-1

d)

3

56.

$f\left(x\right)=2x+1$
$g\left(x\right)=x^2+4$

Evaluate $f\left(g\left(-1\right)\right)$

a)

11

b)

7

c)

-5

d)

5

57.

$f\left(x\right)=2x+1$
$g\left(x\right)=x^2+4$

Evaluate $2f\left(-1\right)-3g\left(2\right)$

a)

-22

b)

-24

c)

-26

d)

22

58.

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

59.

Find the slope

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

60.

Write the equation of the line with slope -2 through the point (7, -1).

a)

y = -2x + 15

b)

y = -2x -15

c)

y = -2x + 13

d)

y = -2x - 13

61.

Write the equation of the line through the points (4, 5) and (12, 9).

a)

y = 2x - 3

b)

y = 1/2x + 3

c)

y = 1/2x +7

d)

y = 2x - 15

62.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

63.

Write the following equation in proper standard form -2x+20=-5y

a)

2x+5y=20

b)

2x-5y=20

c)

20=2x-5y

d)

-2x+5y=-20

64.

a)

-4= 3x-y

b)

3x-y=-4

c)

3x-y=-1

d)

3/4x-1/4y=-1

65.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

66.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

67.

Write an equation
m = 5/4 through (-4, -3)

a)

y = 5/4x +2

b)

y = -5/4x + 2

c)

y = 2x - 5/4

d)

y = 3/4x + 2

68.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

69.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

70.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

71.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

72.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)

The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

73.

Which of the following is a transformation that occurred to the parent function f(x)? SELECT ALL THAT APPLY.

$f\left(x\right)=-\frac{2}{3}x+1$

a)

Vertical Translation Up 1 Unit

b)

Vertical Compressions by Scale Factor of -2/3

c)

Vertical Stretch by Scale Factor of 2/3

d)

Reflection across the y-axis

74.

Write the equation of a line in slope-intercept form that parallel to the line
$y=-\frac{1}{2}x+4$ through the point (4,-8)

a)

$y+8=-\frac{1}{2}(x-4)$

b)

$y-8=-\frac{1}{2}(x-4)$

c)

$y=-\frac{1}{2}x-6$

d)

$x+2y=-12$

75.

The function $f\left(x\right)=2.12x+4.56$ models the amount of money Mr. Parola's Niece has in her bank account.

How much money will she have in her account in 16 days?

a)

$38.48

b)

$29.36

c)

$5.40

76.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

77.

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)

78.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

79.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

a)

45 minutes

b)

90 minutes
2x + 4y = 315

c)

60 minutes
3x + 4y = 450

d)

30 minutes

80.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

a)

y = 9.65 + x
y = 8.40 + x

b)

y = 9.65x + 43
y = 8.40x + 58

c)

y =9.65x
y = 8.40x

d)

y = 9.65x - 43
y = 8.40x - 58

81.

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

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

82.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

83.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

84.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

85.

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

86.

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

87.

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

88.

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

89.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

90.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

Math 1 Semester 1 Final exam Review

Total questions: 90

Worksheet time: 55mins

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