Free Printable Algebra 1 S1 Final Review

1.

Evaluate the expression -2a + 4b for a = 3 and b = 0.

a)

6

b)

2

c)

-6

d)

-2

2.

What is the simplified form?
3x - 1 + 2x - 3

a)

-x

b)

5x - 4

c)

2x - 1

d)

9

3.

Simplify the expression.
-3(5 - 2y)

a)

-15 + 6y

b)

-15 - 2y

c)

2 - 5y

d)

2 + 5y

4.

Name the subset(s) of real numbers to which -2.57 belongs.

a)

Integer only

b)

Rational only

c)

Irrational and Rational

d)

Rational and Integer

5.

Name the subset(s) of real numbers to which √7 belongs.

a)

Rational only

b)

Rational and Irrational

c)

Irrational only

d)

Rational and Integer

6.

Use F = (9/5)C + 32 to convert 100°C to Fahrenheit.

a)

24.4°F

b)

212°F

c)

15.1°F

d)

100°F

7.

Write an algebraic expression for "the sum of z and 2".

a)

2z

b)

z - 2

c)

z ÷ 2

d)

z + 2

8.

Write a word phrase for "x - 5".

a)

The sum of a number x and 5

b)

The difference of a number x and 5

c)

The quotient of a number x and 5

d)

5 less a number x

9.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

10.

Identify the property you would use to solve this equation:
y – 7 = 28

a)

Additive Property of Equality

b)

Subtraction Property of Equality

c)

Multiplicative Property of Equality

d)

Division Property of Equality

11.

Write an expression that represents the following word phrase: four more than the product of 3 and x.

a)

$\frac{3}{x}+4$

b)

$3x+4$

c)

$4\left(3+x\right)$

d)

$3\left(x+4\right)$

12.

Write the expression that represents the following word phrase: the quotient of x and 7

a)

$\frac{x}{7}$

b)

$\frac{7}{x}$

13.

Simplify the following expression:

17\left(2\right)-4^2+11

a)

29

b)

37

c)

14

14.

Evaluate the following expression for s=2 and t=5

\frac{s^4}{2}-17+t

a)

-4

b)

4

c)

8

15.

Simplify the following radical:

\sqrt{121}

a)

11

b)

12

c)

10

16.

Use the Distributive Property to simplify the following expression:

3\left(h-5\right)

a)

$3h-15$

b)

$3h-2$

c)

$3h-5$

17.

Simplify:

10+4\cdot5-2

a)

22

b)

68

c)

28

d)

32

18.

5(9+3)-2+6

a)

64

b)

65

c)

77

d)

12

19.

The order of operations is...

a)

PEMSAD

b)

PMSADE

c)

MASDPE

d)

PEMDAS

20.

The P in PEMDAS stands for...

a)

Problem

b)

Parenthesis ()

c)

Percent

d)

Parents

21.

What property is this?
9(b + 0.5) = 9b + 4.5

a)

Commutative

b)

Associative

c)

Distributive

d)

Additive Inverse

22.

What property is this?
-11.3 + 0 = -11.3

a)

Additive Inverse

b)

Additive Identity

c)

Property of Zero

d)

Commutative

23.

What property is this?
(a+13)+4 = a+(13+4)

a)

Associative

b)

Commutative

c)

Additive Identity

d)

Distributive

24.

Simplify the expression:

4x + 3x

a)

12x

b)

12x²

c)

7x

d)

7x²

25.

Simplify the expression:

3x + 6 + 7x + 3

a)

10x + 9

b)

9x + 10

c)

4x + 3

d)

4x - 3

26.

Simplify the expression:

4(3x + 2) + x

a)

13x + 2

b)

13x + 8

c)

17x + 8

d)

17x + 2

27.

Which of the following expressions are equal to the statement below? Add 7 and 4, then multiply by 3

a)

7+4x3

b)

3x(7+4)

c)

4x(7+3)

d)

(7+4)x3

28.

Which of the following expressions matches the statement below? Divide 12 by 2, then add 3

a)

12\div2+3

b)

$2\div12+3$

c)

$12\div\left(2+3\right)$

d)

$12\div3+2$

29.

Which of the following expressions matches the statement below?

Add 6 and 8, then divide by 2

a)

$\left(6+2\right)\div8$

b)

$8+6\div2$

c)

$\left(6+8\right)\div2$

d)

$6+8\div2$

30.

Which symbol matches the word quotient?

a)

+

b)

-

c)

x

d)

$\div$

31.

Which symbol matches the word sum?

a)

+

b)

-

c)

x

d)

$\div$

32.

Which symbol matches the word difference?

a)

+

b)

-

c)

x

d)

$\div$

33.

Which symbol matches the word product?

a)

+

b)

-

c)

x

d)

$\div$

34.

-13 + 5

a)

-8

b)

-7

c)

7

d)

8

35.

-27 + 29

a)

-2

b)

-1

c)

1

d)

2

36.

5 - (-6)

a)

11

b)

10

c)

-11

d)

-10

37.

-6 + (-3)

a)

-10

b)

-8

c)

-9

d)

10

38.

2.1 - 2.9

a)

1.8

b)

-1.8

c)

0.8

d)

-0.8

39.

-3.7 + (-5.1)

a)

-8.8

b)

-1.4

c)

1.4

d)

8.8

40.

-6 - (-10)

a)

-16

b)

-4

c)

4

d)

16

41.

A negative divided by a positive is a ________

a)

positive

b)

negative

42.

Multiply. Write your answer in simplest form.

a)

27/40

b)

-27/40

c)

5/6

d)

-5/6

43.

(-9)x(-8)

a)

-72

b)

72

c)

81

d)

-81

44.

-7 x 4

a)

24

b)

28

c)

-28

d)

-24

45.

12 x -4

a)

-24

b)

-36

c)

-60

d)

-48

46.

(-25) ÷ (-5)

a)

5

b)

-5

c)

-20

d)

-30

47.

-3(-4)

a)

-12

b)

7

c)

-7

d)

12

48.

-10(4)

a)

40

b)

-14

c)

-40

d)

14

49.

Evaluate:
−30÷2

a)

−15

b)

15

c)

10

d)

−10

50.

-20 x 0

a)

20

b)

-20

c)

0

d)

-19

51.

56 ÷ (-7)

a)

-8

b)

-9

c)

8

d)

7

52.

Which equation is an identity?

a)

$11-\left(2x+3\right)=-2x-8$

b)

$5x+8-x=6x-2\left(x-4\right)$

c)

$7x-2=8x+4-x$

d)

$8x+9=8x-3$

53.

Which equation has no solution?

a)

$8-\left(5x+3\right)=5x-5$

b)

$3x-6=5x+7-x$

c)

$3x+4-x=5x-2\left(x-2\right)$

d)

$7x+9=7x-6$

54.

You want a $565 bicycle but have no money. You can save $30 a week, but need to pay your sister $65 first. How many weeks will you need to save to pay your sister and buy the bike?

a)

25

b)

19

c)

22

d)

21

55.

What do you get when you solve for $z-m=z+bx$ for x?

a)

$x=-\frac{2z+m}{b}$

b)

$x=-\frac{b}{m}$

c)

$x=-\frac{m}{b}$

d)

$x=\frac{2z-m}{b}$

56.

What is the height of a triangle that has an area of 60 $yd^2$ and a base with a length of 12 yd?

a)

0.1 yd

b)

2.5 yd

c)

5 yd

d)

10 yd

57.

Car A travels 180 miles in 7 hours. Car B travels 250 miles in 4 hours. Car C travels 584 miles in 15 hours. Which car has the fastest average speed?

a)

Car A

b)

Car B

c)

Car C

d)

They all have the same average speed

58.

An office building is 111 ft high. How tall is this in meters?

a)

333 m

b)

39.64 m

c)

33.84 m

d)

364.1 m

59.

A student ran the 100-m dash in 15.4 s. What was the student's speed in miles per hour?

a)

6.5 mi/h

b)

2.9 mi/h

c)

14.5 mi/h

d)

289.6 mi/h

60.

School guidelines require that there must be at least 2 chaperones for every 25 students on a school trip. How many chaperones are needed for 80 students?

a)

6

b)

40

c)

3

d)

7

61.

A map has a scale of 1 cm : 18 km. Two cities are 2.7 cm apart on the map. What is the actual distance in km?

a)

48.6 km

b)

66.6 km

c)

138.6 km

d)

51.3 km

62.

Two rectangles are similar. One has a length of 10 cm and a width of 8 cm, and the other has a width of 7 cm. Find the length of the second rectangle.

a)

8.8 cm

b)

6.6 cm

c)

10.1 cm

d)

5.6 cm

63.

Solve the proportion $\frac{x+14}{4x+6}=\frac{3}{4}$

a)

$\frac{8}{19}$

b)

$\frac{15}{28}$

c)

$\frac{19}{4}$

d)

$\frac{2}{7}$

64.

Find the percent of decrease from 5200 to 3140.

a)

66%

b)

40%

c)

166%

d)

6%

65.

Find the percent increase from $33,000 to $37,950.

a)

17%

b)

11%

c)

15%

d)

9%

66.

Find the minimum and maximum possible areas of a rectangle measuring 2 km by 8 km if the measurements are accurate the nearest kilometer.

a)

Min: 16 km² Max: 21.25 km²

b)

Min: 21.25 km² Max: 11.25 km²

c)

Min: 11.25 km² Max: 21.25 km²

d)

Min: 11.25 km² Max: 16 km²

67.

Solve $\frac{6}{7}x-8=7$

a)

$17\ \frac{1}{2}$

b)

$18\ \frac{5}{6}$

c)

$12\ \frac{6}{7}$

d)

$-17\ \frac{1}{2}$

68.

Solve $5\left(10x-10\right)=-5\left(-4x+4\right)$

a)

1

b)

-1

c)

2

d)

0

69.

Solve $\frac{3p}{5}+\frac{8}{5}=1$

a)

15

b)

2

c)

-10

d)

-1

70.

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

a)

$4$

b)

$7$

c)

$-4$

d)

$6$

71.

Solve $2=6x-8-5x$

a)

$-10$

b)

$-6$

c)

$2$

d)

$10$

72.

Solve $-4x-9=-5-6x$

a)

$4$

b)

$1$

c)

$-1$

d)

$2$

73.

Solve the proportion $\frac{10}{8}=\frac{25}{x}$

a)

200

b)

20

c)

31.3

d)

3.2

74.

Solve $3x=5.1$

a)

5.1

b)

1.7

c)

15.3

d)

1

75.

Solve $\frac{p}{2}=2$

a)

2

b)

4

c)

-2

d)

-4

76.

A prism has measured dimensions of 11.5 in x 7.0 in x 5.5 in measured the nearest half inch. What is the greatest percent error in calculating the volume?

a)

9.6%

b)

11.1%

c)

25%

d)

5%

77.

Translate the sentence into an equation:

The sum of a number x and 4 is 2 times the difference of x and 4.

a)

x +4 = 2(x-4)

b)

(x +4) = 4(x-4)

c)

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

d)

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

78.

Solve for x:

-4 = 6x +26

a)

x = 13

b)

x =-5

c)

x = 30

d)

x =5

79.

Solve the proportion for x:

$\frac{7}{18\ }=\ \frac{x}{44}$

a)

11.17

b)

2.86

c)

308

d)

17.11

80.

Solve for x

$4x\ =\ 24$

a)

5

b)

6

c)

7

d)

8

81.

$24\ -\ x\ =\ 18$

Solve for x

a)

6

b)

10

c)

8

d)

7

82.

If t=10, evaluate

5t + 4t

a)

90

b)

80

c)

20

d)

100

83.

Lucy is 6 years younger than Han. If Lucy is x years old, how old is Han?

a)

6x

b)

6 + x

c)

6 - x

d)

x + 6

84.

Solve for x

$\frac{x}{2}=\ 4.5$

a)

9

b)

29

c)

39

d)

19

85.

What is a coefficient?

a)

A value added to a variable.

b)

A value used to multiply a variable.

c)

A value used to group variables.

d)

A value more than 1.

86.

In this equation, which number is the coefficient?

$14x\ +\ 10\ =\ 150$

a)

14

b)

x

c)

10

d)

150

87.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

88.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

89.

What is true about the sides of similar figures?

a)

Corresponding sides are proportional.

b)

Corresponding sides are congruent.

c)

Opposite sides are proportional.

d)

Opposite sides are congruent.

90.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

91.

Find the percent change.
Original amount: 10
New amount: 12

a)

20%

b)

12%

c)

15%

d)

50%

92.

What is the graph of $x\le-5$

a)

a

b)

b

c)

c

d)

d

93.

What is the solution to $m+2-2\left(m-4\right)>0$

a)

15

b)

12

c)

10

d)

8

94.

What are the solutions to the inequality in set-builder notation. $7x-5\ge9$

a)

$\left\{x\left|x\ge2\right|\right\}$

b)

$\left\{x\left|x\le-2\right|\right\}$

c)

$\left\{x\left|x\le2\right|\right\}$

d)

$\left\{x\left|x\ge-2\right|\right\}$

95.

What is the graph of $\left(-\infty,-5\right)$ or $\left(2,\infty\right)$

a)

A

b)

B

c)

C

d)

D

96.

What is $x\ge-7$ and $x<9$ in interval notation?

a)

$\left[-7,9\right]$

b)

$\left(-7,9\right)$

c)

$\left[-7,9\right)$

d)

$\left(-7,9\right]$

97.

Solve $-12x\ge-12$

a)

$x\ge1$

b)

$x\ge0$

c)

$x>0$

d)

$x\le1$

98.

Solve $x+2>-1$

a)

$x>1$

b)

$x<3$

c)

$x>3$

d)

$x>-3$

99.

Solve $-\frac{x}{2}\le3$

a)

$x\le-6$

b)

$x\le5$

c)

$x\ge6$

d)

$x\ge-6$

100.

Solve $s-4\le4$

a)

$s\le8$

b)

$s\le-8$

c)

$s\le0$

d)

$s\le-16$

101.

What is the graph of $\left(-3,6\right]$

a)

A

b)

B

c)

C

d)

D

102.

What inequality represents the graph?

a)

$x\le-2$

b)

$x>-2$

c)

$x<-2$

d)

$x\ge2$

103.

Write the set in roster form.

H is the set of even integers less than 4 but greater than or equal to -10

a)

$\left\{-10,-8,-6,-4,-2,0,2\right\}$

b)

$\left\{-8,-6,-4,-2,0,2\right\}$

c)

$\left\{-10,-8,-6,-4,-2,2,4\right\}$

d)

$\left\{-10,-8,-6,-4,-2,0,2,4\right\}$

104.

Solve $\left|-5x\right|\ge30$

a)

$x\le6$ and $x\ge-6$

b)

$x\ge6$

c)

$x\le-6$

d)

$x\le-6$ or $x\ge6$

105.

Write $\left(-\infty,-10\right)$ or $\left(-8,\infty\right)$ as an inequality

a)

$x<-10$ or $x>-8$

b)

$x<-8$ or $x>-10$

c)

$x<-10$ and $x>-8$

d)

$x<-8$ and $x>-10$

106.

Solve $12+10n\ge8\left(n+12\right)$

a)

$n\ge-42$

b)

$n\ge48$

c)

$n\ge42$

d)

$n\ge54$

107.

Which answer includes a set that is not a subset of the set: $\left\{-8,0,1,3\right\}$

a)

$\left\{\right\},\left\{0,1\right\},\left\{0,1,3\right\}$

b)

$\left\{0,1\right\},\left\{-1,3\right\},\left\{-8,1\right\}$

c)

$\left\{0,1,3\right\},\left\{-8,1,3\right\},\left\{-8,0,3\right\}$

d)

$\left\{-8\right\},\left\{0\right\},\left\{1\right\}$

108.

Suppose $U=\left\{-9,-6,-3,-1,1,9\right\}$ is the universal set and $T=\left\{-9,-6,-1\right\}$ . What is the complement of set T?

a)

$\left\{-3,1,9\right\}$

b)

$\left\{-9,-6,-1\right\}$

c)

$\left\{-6,-3,-1,1,9\right\}$

d)

$\left\{-1,1,9\right\}$

109.

Any number that makes an inequality true.

a)

equivalent inequalities

b)

roster form

c)

set-builder notation

d)

solution of an inequality

110.

Applying properties of inequality produces

a)

equivalent inequalities

b)

roster form

c)

set-builder notation

d)

solution of an inequality

111.

The set $A=\left\{1,2,3,4,5\right\}$ is given in

a)

equivalent inequalities

b)

roster form

c)

set-builder notation

d)

solution of an inequality

112.

The set $A=\left\{x\left|x\ge3\right|\right\}$ is given in

a)

equivalent inequalities

b)

roster form

c)

set-builder notation

d)

solution of an inequality

113.

The set $A=\left\{\right\}$ contains no elements and is a subset of every set.

a)

empty set

b)

universal set

c)

complement of a set

d)

compound inequality

114.

The largest set you are using.

a)

empty set

b)

universal set

c)

complement of a set

d)

compound inequality

115.

The set of all elements in the universal set that are not in a given set.

a)

empty set

b)

universal set

c)

complement of a set

d)

compound inequality

116.

Consider the universal set of all real numbers. If A={x|x is odd}, then A' = {x|x is even} is called the

a)

empty set

b)

universal set

c)

complement of a set

d)

compound inequality

117.

The inequalities $6a>12$ and $a>2$

a)

equivalent inequalities

b)

roster form

c)

set-builder notation

d)

solution of an inequality

118.

Consists of two distinct inequalities joined by the word "and" or "or"

a)

empty set

b)

universal set

c)

complement of a set

d)

compound inequality

119.

The inequality $-5\le2x+7<11$ is a

a)

empty set

b)

universal set

c)

complement of a set

d)

compound inequality

120.

Describing and interval using the symbols (, [, and $\infty$

a)

interval notation

b)

union

c)

intersection

d)

disjoint set

121.

A set that contains all elements of two or more sets

a)

interval notation

b)

union

c)

intersection

d)

disjoint set

122.

A set that contains all common elements of two or more sets

a)

interval notation

b)

union

c)

intersection

d)

disjoint set

123.

A pair of sets that contain no common elements.

a)

interval notation

b)

union

c)

intersection

d)

disjoint set

124.

Consider the function:{(3,11),(4,18),(5,27),(6,38)} What is the Domain?

a)

{4,11,5,18}

b)

{3,11,4,18}

c)

{3,4,5,6}

d)

{11,18,27,38}

125.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

126.

Is the graph a function?

a)

Function

b)

Not a Function

127.

Is the graph a function?

a)

Function

b)

Not a Function

128.

What is another term for input?

a)

independent variable

b)

dependent variable

c)

k

d)

y

129.

What is another term for output?

a)

independent variable

b)

dependent variable

c)

k

d)

x

130.

Which is another name for the x-value.

a)

input

b)

output

131.

Which is another name for the y-value.

a)

input

b)

output

132.

What does y equal when x equals 0?

a)

0

b)

3

c)

1

d)

5

133.

What does y equal when x equals 2?

a)

0

b)

3

c)

1

d)

5

134.

Function or not a function?

a)

yes

b)

no

135.

Function or not a function?

a)

yes

b)

no

136.

Which ordered pair below would prevent this table from being a function?

a)

(10, 10)

b)

(2, 4)

c)

(6, 1)

d)

(-2, 0)

137.

Given h(x) = 5 - 9x, find h(2).

a)

h(2) = 13

b)

h(2) = -13

c)

h (2) = 23

d)

h(2)= -23

138.

Given the function f(x) = 2x²-3x Evaluate f(-1)

a)

1

b)

-5

c)

5

d)

-1

139.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only one output

c)

Inputs have different outputs every time

d)

x-values and y-values

140.

The "output" could also be written as...

a)

x

b)

f(x)

141.

If h(x) = 2x-3, find h(8).

a)

5.5

b)

7

c)

13

d)

12

142.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

143.

The cost C, in dollars, for the pencils is a function of the number, n, of pencils purchased. Graph the function and tell whether the function is linear or nonlinear.

a)

linear

b)

nonlinear

144.

Write a function rule to represent the situation.

a)

C = 200 + 45h

b)

C = 200 - 45h

c)

h = 45c - 200

d)

h = 200+ 45c

145.

Write a function rule to represent the situation.

a)

V = 243 - 0.2s

b)

S = 243V - 0.2

c)

V = 243 + 0.2s

d)

S = 243V + 0.2

146.

Is the relation a function?
{(2,5), (3,5), (4, -4), (5, -4), (6,8)}

a)

function

b)

not a function

147.

Is the relation a function?
{(2,5), (3,5), (4, -4), (3, -4), (6,8)}

a)

function

b)

not a function

148.

If x = 2, what is f(x) = 2x - 8

a)

-4

b)

4

c)

12

d)

-12

149.

If x = 7, what is h(x) = -4x + 61

a)

33

b)

89

c)

35

d)

88

150.

The domain of g(x) = -3.8x - 4.2 is {-3, -1.4, 0, 8}. What is the range?

a)

{-34.6, -4.2, 1.12, 7.2}

b)

{-4.2, 0, 1.12, 7.2 }

c)

{-7.2, -1.12, 4.2, 34.6}

d)

{-34.6, -4.2, 1.2, 7.2}

151.

The length, L, of a pencil is a function of the time, t, in seconds, it has been sharpened. Graph the function and tell whether it is linear or nonlinear.

a)

linear

b)

nonlinear

c)

ennear

d)

not enough information

152.

An arithmetic sequence is represented by the explicit formula, $A\left(n\right)=5+\left(n-1\right)\left(3\right)$ . What is the recursive definition?

a)

$A\left(1\right)=5;\ A\left(n\right)=A\left(n-1\right)+3$

b)

$A\left(1\right)=3;\ A\left(n\right)=A\left(n-1\right)+5$

c)

$A\left(1\right)=5;\ A\left(n\right)=A\left(n+1\right)+3$

d)

$A\left(1\right)=3;\ A\left(n\right)=A\left(n+1\right)+5$

153.

Describe a pattern in each sequence. Then find the next two terms.
6, 13, 20, 27

a)

Add 7 to previous term; 35, 42

b)

Add 7 to previous term; 34, 41

c)

Add 6 to previous term; 33, 39

d)

Add 6 to previous term; 32, 38

154.

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

a)

y=1344x

b)

y=100x

c)

y=5.25x

d)

y=4/21x

155.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

156.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

157.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

158.

Determine the slope and y-intercept. y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

159.

What does the Direct Variation Equation look like?

a)

y= kx

b)

y = mx + b

c)

y = b

d)

y = x

160.

Is this a direct variation? y =2x + 1

a)

Yes

b)

No

161.

Is this a direct variation?
y=2x

a)

yes

b)

no

162.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

163.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

164.

Which is NOT a correct point-slope equation for the line in #14?

a)

y - 0 = 1/2(x + 2)

b)

y - 1 = 1/2(x - 0)

c)

y + 2 = 1/2(x + 2)

d)

y - 2 = 1/2(x - 2)

165.

Given the graph, what is the equation of the line in point slope form?

a)

y - 20 = ½(x - 4)

b)

y - 20 = 5(x - 4)

c)

y + 20= 5(x + 4)

d)

y - 20 = 1(x - 4)

166.

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

167.

Find the slope given the points (-2,-9) and (-1,-3).

a)

4

b)

-1/6

c)

-6

d)

6

168.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

169.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

170.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

171.

Find the rate of change.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

172.

Calculate the rate of change.

a)

6

b)

1/6

c)

-6

d)

-1/6

173.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

174.

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)

175.

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

176.

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+ 7 = 4(x - 4)

d)

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

177.

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)

178.

Check to see if (-2,1) is a solution to the following system:
x+2y=0
4x+3y=1

a)

yes

b)

no

179.

An inequality using a > or a < has a ___________ line

a)

invisible

b)

solid

c)

dashed

180.

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

a)

infinite solutions

b)

no solution

c)

one solution

181.

Is (3,-4) a solution to this system?

a)

yes

b)

no

182.

Pick the ordered pair that is NOT a solution

a)

(0,0)

b)

(1,-1)

c)

(2,0)

d)

(4,-4)

183.

Solve the following system of equations using substitution or elimination:

2x+3y=17

y=4x+1

a)

(-1,-3)

b)

(1,5)

c)

(1,3)

d)

(2,4)

184.

Solve using substitution or elimination:

2x+3y=10

-2x+y=14

a)

(6,-4)

b)

(-4,6)

c)

(4,6)

d)

(6,4)

185.

Solve using substitution or elimination:

3x-7y=10

12x+14y=16

a)

(2,-.57)

b)

(2,-.75)

c)

(.57,-2)

d)

(.75,-2)

186.

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

187.

When you come across a solution that reads 4=4, your answer is...

a)

no solution

b)

all real numbers

c)

4

188.

Pick the following inequality that relates to this graph:

a)

y<-2x+2

b)

y≤-2x+2

c)

y>-2x+2

d)

y≥-2x+2

189.

For the inequality:
y>3x-5
Would you shade (0,0) or shade the other side?

a)

shade (0,0)--it is a solution

b)

Shade the other side--(0,0) is not a solution

190.

Is (3,2) a solution to
3x-4y=1
x-y=0

a)

yes

b)

no

191.

An inequality using a ≤ or ≥ is graphed using a

a)

solid line

b)

dashed line

c)

invisible line

d)

no line!

192.

A point that is on a dashed line is.....

a)

a solution

b)

not a solution

193.

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

194.

Which of the following is not a method to solve systems of equations?

a)

Elimination

b)

Difference of Squares

c)

Substitution

d)

Graphing

195.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

196.

What is the solution to this system?
(assume a 1:1 scale)

a)

(-2, -2)

b)

(2, -2)

c)

(-2, 2)

d)

(2, 2)

197.

The first step in solving using the substitution method is __________.

a)

graph the equations

b)

write one equation as y = mx + b

c)

get one variable by itself

d)

add the equations together

198.

Write the inequality represented in the picture.

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

199.

Two equations, such as y = 3x -6 and y =12 + 4x, together are called a(n)__________.

a)

equations

b)

system of equations

c)

problem

d)

algebraic expression

200.

Sometimes adding two equations of a system will give an equation with only one variable. This is helpful when you are solving a system by _____________.

a)

elimination

b)

substitution

c)

multiplication

d)

graphing

201.

_______________ is a method of solving a system of equations where one variable is solved in terms of the other variable.

a)

Independent

b)

Elimination

c)

Adding

d)

Substitution

202.

If a system of equations has an infinite number of solutions, the system is _____________.

a)

independent

b)

dependent

c)

inconsistent

d)

no solutions

203.

If the graphs of the equation of a system intersect or coincide, the system of equations is __________________.

a)

consistent

b)

dependent

c)

inconsistent

d)

infinite

204.

If a system has no solution, it is said to be ___________.

a)

elimination

b)

independent

c)

dependent

d)

inconsistent

205.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

206.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

Algebra 1 S1 Final Review

Total questions: 206

Worksheet time: 5hrs 12mins