Free Printable Every Day Algebra Review

1.

Which relation describes a function? What makes it a function?

a)

{(-2,3),(-2,5),(-6,7)} Each member of the range is unique.

b)

{(2,3),(3,3),(3,4)} Each member of the domain and range is positive.

c)

{(2,3),(3,3),(3,4)} Each member of the domain and range is a real number.

d)

{(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range.

2.

Which graph represents a function?

a)

b)

c)

d)

3.

Which table does NOT represent a function?

a)

b)

c)

d)

4.

Which equation matches the table?

a)

y = x - 3

b)

y = x + 3

c)

y = 4x - 3

d)

y = 4x + 3

5.

Which function matches the mapping shown?

a)

f(x) = x + 4

b)

f(x) = 2x

c)

f(x) = 4x

d)

f(x) = x⁴

6.

Is the graph pictured a function?

a)

Yes

b)

No

7.

Is the graph pictured a function?

a)

Yes

b)

No

8.

Is the table pictured a linear relationship? Why or Why not

a)

Yes, it has a constant change

b)

Yes, it does not have different rates of change

c)

No, it has constant rate of change

d)

No, it does not have a constant rate of change

9.

a)

Function

b)

Not a Function

10.

Choose the best situation for the graph.

a)

A car is moving at a constant speed for several minutes. When it approaches a red light, it slows down and comes to a stop.

b)

A plant grows steadily and then has a growth spurt during the rainy season. It remains the same height for a while and then grows steadily again.

c)

A family buys a fish tank and some fish. After two weeks, they buy some more fish. After two more weeks, they buy even more fish.

d)

A monkey swings from a high branch to a lower branch. He climbs along the branch. Then he jumps to a higher branch and takes a nap.

11.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

12.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

13.

Function Rule: y = 3x – 6

If the input is x= -1

a)

y = 9

b)

y = 3

c)

y = -9

d)

y = 1

14.

Function Rule: y = 3x – 6

If the input is x= 0

a)

y = 9

b)

y = -6

c)

y = -9

d)

y = 1

15.

Function Rule: y = 3x – 6

If the input is x= 3

a)

y = 9

b)

y = -6

c)

y = 3

d)

y = 1

16.

Is this a function?

a)

yes

b)

no

17.

Suppose protein bars cost $1.59 each. Complete a function rule C = _____ to describe the relationship between the total cost (C) and the number of protein bars, (n,) you buy. C

a)

C= $1.59 + n

b)

C= $1.59 - n

c)

C= $1.59 / n

d)

C= $1.59n

18.

$f\left(2\right)\ if\ f\left(x\right)=2x+4$

a)

8

b)

5

c)

4

d)

7

19.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

20.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

21.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

22.

Which equation is in point-slope form?

a)

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

b)

$y=\frac{1}{3}x+5$

c)

$2x-5y=60$

d)

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

23.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

24.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

25.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

26.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

27.

A line of best fit with a correlation coefficient of 0.97 has a:

a)

Strong positive correlation

b)

Weak negative correlation

c)

Strong negative correlation

d)

Weak Positive Correlation

28.

What is the slope of the table?

a)

-4

b)

1

c)

4

d)

-2

29.

Which equation matches this graph?

a)

y=4/3x+4

b)

y=4/3x

c)

y=2/1x+4

d)

y=2/3x

30.

Based on the graph, if Joe earned $400, how many hours did he work?

a)

25 hours

b)

35 hours

c)

45 hours

d)

15 hours

31.

Solve using elimination: 2x + 3y = 9 and x + 5y = 8

a)

(3, 1)

b)

(1, 3)

c)

(9, 8)

d)

(2, 3)

32.

A system of equations that looks like this has ....

a)

infinite solutions

b)

no solution

c)

one solution

33.

Solve the following system of equations:
2x+3y=17
y=4x+1

a)

(-1,-3)

b)

(1,5)

c)

(1,3)

d)

(2,4)

34.

Solve using any method:
2x+3y=10
-2x+y=14

a)

(6,-4)

b)

(-4,6)

c)

(4,6)

d)

(6,4)

35.

When you come across a solution that reads 3=4, your answer would be.....

a)

no solution

b)

all real numbers

c)

3 pizzas = 4 hungry hungry hippos

d)

one solution

36.

Solve the following equations for x and y:
-6x+6y=6
6x-3y=12

a)

6,5

b)

5,6

c)

4,4

d)

2,4

37.

What is the x-value of the solution to this system of equations?

x=2y-4

7x+5y=-66

a)

-2

b)

$-\frac{19}{7}$

c)

-8

d)

$-\frac{62}{19}$

38.

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

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

39.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

40.

Solve the system using any method:

4x+8y=20

-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

41.

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.

42.

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

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

43.

Solve the system of equations:
$2x+y=19$
$x-y=11$

a)

$(10,-1)$

b)

$(-1,10)$

c)

$(3,-4)$

d)

$(6,7)$

44.

factor x²+ 7x - 30

a)

PRIME

b)

(x + 10)(x + 3)

c)

(x - 10)(x + 3)

d)

(x + 10)(x - 3)

45.

What is the GCF?

5x²+ 20x

a)

5

b)

x

c)

5x

d)

20x

46.

factor x²-16x + 48

a)

(x - 12)(x - 4)

b)

(x + 12)(x - 4)

c)

(x + 6)(x - 8)

d)

PRIME

47.

What is the GCF?

16x⁵+ 12x⁴ - x³

a)

x⁵

b)

12x

c)

6x³

d)

x³

48.

Factor
k² - 2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

49.

Factor
n²- 13n + 40

a)

(n-5)(n-8)

b)

(n+5)(n-8)

c)

(n-5)(n+8)

d)

(n+6)(n+1)

50.

Factor
x²+ 12x + 35

a)

(x+5)(x+7)

b)

(x+4)(x+3)

c)

(x+7)(x-5)

d)

Prime

51.

Factor
x² + 5x + 4

a)

(x + 4)(x + 1)

b)

(x + 2)(x + 2)

c)

(x + 4)(x - 1)

d)

(x + 5)(x + 1)

52.

Factor
x² - 9x + 20

a)

(x - 10)(x - 2)

b)

(x - 20)(x - 1)

c)

(x - 10)(x + 2)

d)

(x - 5)(x - 4)

53.

Factor
x²+ 3x + 2

a)

(x + 2)(x + 1)

b)

(x + 3)(x - 1)

c)

(x + 3)(x + 1)

d)

(x - 3)(x + 1)

54.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

55.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

56.

What does FOIL stand for?

a)

Flogging Outlawed in London

b)

Fans On in Landing

c)

First Outside Inside Last

d)

Fishing Only in Lakes

57.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

58.

(x + 5)²
Hint: try (x + 5)(x + 5)

a)

x² + 25

b)

x² + 10x + 25

c)

x² + 10 x + 10

d)

x² + 10

59.

Factor
x²+12x+35

a)

(x+5)(x+7)

b)

(x+4)(x+3)

c)

(x+7)(x-5)

d)

(x+5)(x-7)

60.

Which of the following is a binomial?

a)

5x + 11

b)

x² + 3x + 6

c)

12x²y

d)

x² - 4x + 10

61.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

62.

(x + 7)(x - 2)

a)

x² - 5x + 5

b)

x²- 9x - 14

c)

x² - 5x - 14

d)

x² + 5x - 14

63.

Factor x²+12x+35

a)

(x+5)(x+7)

b)

(x+4)(x+3)

c)

(x+7)(x-5)

d)

Prime

64.

a)

-30x¹¹

b)

-30x¹⁸

c)

-x¹¹

d)

-x¹⁸

65.

a)

y¹⁶⁰

b)

y¹

c)

1

d)

y⁴

66.

a)

-15x²yz⁴

b)

1

67.

a)

$\frac{1}{16}$

b)

$\frac{1}{8}$

c)

-16

d)

-8

68.

a)

$\frac{1}{27}$

b)

$\frac{1}{-9}$

c)

27

d)

9

69.

a)

$\frac{1}{27}$

b)

$\frac{1}{-9}$

c)

27

d)

9

70.

a)

b)

16c³d³

c)

d)

71.

a)

b)

c)

3x⁴y

d)

72.

a)

x⁷

b)

x¹¹

c)

d)

73.

a)

b)

c)

1

d)

0

74.

a)

b)

z^-11

c)

z

d)

z¹¹

75.

a)

$25x^{22}$

b)

$10x^{22}$

c)

$25x^{13}$

d)

$-25x^{22}$

76.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

77.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.

Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

78.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

79.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

80.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

81.

Solve:
8 - 3k < 8(1 - 7k)

a)

k < 5

b)

k > 5

c)

k < -33

d)

k < 0

82.

Which sentence represents m > 41?

a)

Mary’s points, m, totaled more than 41

b)

Calvin ran no less than 41 miles, m

c)

The temperature, m, was less than 41°F

d)

The magazines’ cost, m, was not more than $41.

83.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

84.

Which is the solution of 2(h-4) ≤ 6(h-8)?

a)

10 ≤ h

b)

h ≤ 10

c)

h ≥ 12

d)

12 ≥ h

85.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

86.

Solve the inequality for w:
-5(w - 4) < -5w - 15

a)

w > 15

b)

All real numbers are solutions

c)

w < 5

d)

No solutions to this inequality

87.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

88.

Solve.

a)

x ≤ 33

b)

x ≤ -33

c)

x ≤ 31

d)

x ≤ -31

89.

A student needs to collect at least $30.00 for a sports fundraiser. The student has already collected $7.00. The inequality shown can be used to find d, the number of dollars the student still needs.
d + 7 ≥ 30
Which inequality represents the solution set for this situation?

a)

d ≤ 37

b)

d ≥ 37

c)

d ≤ 23

d)

d ≥ 23

90.

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?

a)

16 weeks

b)

14 weeks

c)

12 weeks

d)

10 weeks

91.

Is -2 a viable solution of the inequality:
6g - 14 > -21

a)

No, it is not a solution.

b)

Yes, it is a solution.

92.

Which of the following is the solution of 2x + 3 ≤ 9 in real numbers?

a)

x ≤ 3

b)

x ≥ 2

c)

x ≤ 6

d)

x < 6

93.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

94.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

95.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

96.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

97.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

98.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

99.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

100.

x/5 - 13 = 20

a)

145

b)

165

c)

180

d)

190

101.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

102.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

103.

X - 10 > 25

a)

X > 35

b)

X < 35

c)

X > -35

d)

X < -35

104.

x/4≤8

a)

x≤2

b)

x≤32

c)

x≤12

d)

x≤4

Every Day Algebra Review

Total questions: 104

Worksheet time: 7hrs 21mins

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