Free Printable Alg. 1 Fall Final Test Bank

1.

Which numerical expression represents sixteen less than the quotient of twenty-one and 13.8?

a)

$\dfrac{21}{13.8} - 16$

b)

$16 - \dfrac{21}{13.8}$

c)

$21 \times 13.8 - 16$

d)

$16 - 21 \times 13.8$

2.

Which is equivalent to $4^3$ ?

a)

$3 \times 4$

b)

$4 \times 3$

c)

$4 \times 4 \times 4$

d)

$3 \times 3 \times 3$

3.

Which expression represents the statement: The product of $7.4$ and $9$ decreased by $13$ ?

a)

$7.4(9) - 13$

b)

$7.4 + 9 - 13$

c)

$13 - 7.4(9)$

d)

$7.4(9 + 13)$

4.

What is the correct order of the steps to find the value of the expression $9 \times 3 + 12 \div 2 - 7$ ?

a)

Divide. Subtract. Add. Multiply.

b)

Divide. Add. Subtract. Multiply.

c)

Multiply. Add. Divide. Subtract.

d)

Multiply. Divide. Add. Subtract.

5.

Which of the following shows the correct order of steps needed to simplify $9 - 5(7^2 + 2)$ ?

a)

Add. Simplify the power. Multiply. Divide. Subtract.

b)

Simplify the power. Add. Multiply. Divide. Subtract.

c)

Simplify the power. Add. Multiply. Subtract. Divide.

d)

Subtract. Multiply. Simplify the power. Add. Divide.

6.

SHOPPING The table shows item prices at a book store. Fill the blank: The expression that could be used to determine the total cost of 5 packs of erasers and 3 bottles of water is _____ $(5 + 3)$ . Which value correctly fills the blank?

a)

$2$

b)

$3$

c)

$5$

d)

$8$

7.

SHOPPING Using the same table of prices at a book store, what is the total cost of 5 packs of erasers and 3 bottles of water?

a)

$12$

b)

$14$

c)

$16$

d)

$18$

8.

Which algebraic expression represents the verbal expression: 5 minus the product of 8 and a number?

a)

$8n - 5$

b)

$5 - 8n$

c)

$5(8 - n)$

d)

$5 - (8 + n)$

9.

Which algebraic expression represents the verbal expression: the quantity 8 minus $n$ times 5?

a)

$8n - 5$

b)

$5 - 8n$

c)

$5(8 - n)$

d)

$5 - (8 + n)$

10.

Which algebraic expression represents the verbal expression: 5 decreased by the sum of 8 and $n$ ?

a)

$8n - 5$

b)

$5 - 8n$

c)

$5(8 - n)$

d)

$5 - (8 + n)$

11.

Which algebraic expression represents the verbal expression: 5 less than 8 times a number?

a)

$8n - 5$

b)

$5 - 8n$

c)

$5(8 - n)$

d)

$5 - (8 + n)$

12.

True or false: The expression $\frac{3a+4b}{2}$ is equal to $-7$ when $a=6$ and $b=-1$ .

a)

True

b)

False

13.

Select the ordered pair that gives the value of the expression $-2x^2-5x+1$ when $x=2.4$ and when $x=-3$ , in that order.

a)

( $-22.52$ , $-2$ )

b)

( $-22.52$ , $2$ )

c)

( $-21.52$ , $-2$ )

d)

( $-23.52$ , $-2$ )

14.

Evaluate $\dfrac{(-3a+4b)^2}{2c-1}$ when $a=5$ , $b=3$ , and $c=2$ .

a)

13

b)

-5

c)

-9

d)

9

15.

The table shows the cost of admission at two nearby zoos. An expression showing the cost for c children and a adults to go to Zoo A is

a)

$6c+8a$

b)

$7c+8a$

c)

$7c+7a$

d)

$6c+7a$

16.

The table shows the cost of admission at two nearby zoos. An expression showing the cost for c children and a adults to go to Zoo B is

a)

$7c+8a$

b)

$6c+8a$

c)

$7c+7a$

d)

$6c+7a$

17.

The table shows the cost of admission at two nearby zoos. What is the total cost for 10 children and 4 adults to go to Zoo A?

a)

$88

b)

$92

c)

$154

d)

$102

18.

The table shows the cost of admission at two nearby zoos. What is the total cost for 10 children and 4 adults to go to Zoo B?

a)

$102

b)

$112

c)

$155

d)

$92

19.

Evaluate $9^2-4\left[3\left(\frac{4}{3}\right)-2^2\right]$ .

a)

$0$

b)

$9$

c)

$81$

d)

$85$

20.

True or false: The expression $3\cdot\frac{1}{3}+9\cdot 0$ is equal to $0$ .

a)

True

b)

False

21.

True or false: The expression $\frac{1}{5}\left(4^2-12+1\right)$ is equal to 111 .

a)

True

b)

False

22.

True or false: The expression $4[1+(2^3-6+2)]$ is equal to $1$ .

a)

True

b)

False

23.

True or false: The expression $\frac{4^2\cdot2\left(3\right)-2}{6}$ is equal to $1$ .

a)

True

b)

False

24.

True or false: The expression $\tfrac{1}{2}(8y)+\tfrac{1}{2}(20)$ is equivalent to $\tfrac{1}{2}(8y+20)$ .

a)

True

b)

False

25.

True or false: The expression $4y+20$ is equivalent to $\tfrac{1}{2}(8y+20)$ .

a)

True

b)

False

26.

True or false: The expression $\tfrac{1}{2}(8y)-20$ is equivalent to $\tfrac{1}{2}(8y+20)$ .

a)

True

b)

False

27.

True or false: The expression $4y+10$ is equivalent to $\tfrac{1}{2}(8y+20)$ .

a)

True

b)

False

28.

Select all of the expressions that could be used to evaluate $5\tfrac{1}{4}(16)$ .

a)

$5\tfrac{1}{4}(20-6)$

b)

$5(16)+\tfrac{1}{4}(16)$

c)

$5\tfrac{1}{4}(10+6)$

d)

$(5-\tfrac{1}{4})16$

e)

$5\tfrac{1}{4}(10)+5\tfrac{1}{4}(6)$

29.

Which expression could not be used to evaluate $25\cdot18$ ?

a)

$25(10)+25(8)$

b)

$25(20)-25(2)$

c)

$18(20+5)$

d)

$18+(20\cdot5)$

30.

Which expression is equivalent to $(8x^2-16x-24)\frac{3}{4}$ ?

a)

$2x^2-4x-18$

b)

$2x^2+12x-18$

c)

$6x^2-4x-18$

d)

$6x^2-12x-18$

31.

Use the Distributive Property to simplify $2(3x^2-4x+7)$ . Which expression is the result?

a)

$6x^2-8x+14$

b)

$6x^2-8x+7$

c)

$5x^2-6x+14$

d)

$6x^2-4x+14$

32.

PAINTING Eight friends plan to attend a painting class and will buy lunch there. which expression can be used to find the total cost for all 8 friends, and what is that total?

a)

$8(12+10)$ and $176$

b)

$8(12+10)$ and $88$

c)

$(12+10)+8$ and $30$

d)

$8(12)+10$ and $106$

33.

BOWLING A group of 9 friends plans to go bowling. which expression can be used to find the total cost for all 9 friends, and what is that total?

a)

$9(12+2)$ and $126$

b)

$9(12+2)$ and $108$

c)

$(9+12)2$ and $42$

d)

$12(9)+2$ and $110$

34.

COOKING Monique is taking part in a chili cooking contest. She bought 5 cans of dark red kidney beans and 5 cans of tomato sauce. Using the price table, which expression finds the total cost for these ingredients, and what is that total?

a)

$5(0.69+0.39)$ and $5.4$

b)

$5(0.79+0.39)$ and $5.9$

c)

$10(0.69+0.39)$ and $10.8$

d)

$5(0.69)+0.39$ and $3.84$

35.

MONEY Sadie has $22.75 in her school lunch account. If she wants the money to last for a 5-day week of school, determine the appropriate amount she should spend each day.

a)

4.25$

b)

4.55$

c)

5.50$

d)

3.75$

36.

Which equation represents the sentence? The sum of five times a number and seven is equal to twelve.

a)

$5n + 7 = 12$

b)

$5(n + 7) = 12$

c)

$(5n)(7) = 12$

d)

$5 + n + 7 = 12$

37.

Which equation represents this sentence? The sum of four times a number x and a number y is equal to 20.

a)

$4xy = 20$

b)

$4x + y = 20$

c)

$4(x + y) = 20$

d)

$4 + x + y = 2$

38.

Solve $\tfrac{1}{2}a = 12$ .

a)

$6$

b)

$10$

c)

$14$

d)

$24$

39.

Solve $p + 8 = 15$ . Find the value of $p$ .

a)

$5$

b)

$6$

c)

$7$

d)

$8$

40.

Solve $x - 6 = 13$ . Find the value of $x$ .

a)

$7$

b)

$13$

c)

$19$

d)

$25$

41.

Solve $4m + 5 = 2m + 45$ . Find the value of $m$ .

a)

$10$

b)

$20$

c)

$25$

d)

$40$

42.

Solve $5(r + 3) = 3r + 35$ . Find the value of $r$ .

a)

$2$

b)

$10$

c)

$18$

d)

$20$

43.

HISTORY Arizona became a state in 1912. This was 5 years after Oklahoma became a state. Which equation can be used to find the year Oklahoma became a state? In what year did Oklahoma become a state?

a)

$y + 5 = 1912;\ 1907$

b)

$y + 5 = 1912;\ 1917$

c)

$y - 5 = 1912;\ 1907$

d)

$y - 5 = 1912;\ 1917$

44.

TEMPERATURE The coldest temperature recorded in Alaska was $-80^{\circ}\mathrm{F}$ . This was $10^{\circ}\mathrm{F}$ colder than the coldest temperature recorded in Montana. Which equation can be used to find the coldest temperature recorded in Montana? What is the coldest temperature recorded in Montana?

a)

$T + 10 = -80;\ -90^{\circ}$

b)

$T + 10 = -80;\ -70^{\circ}$

c)

$T - 10 = -80;\ -90^{\circ}$

d)

$T - 10 = -80;\ -70^{\circ}$

45.

The equation $2d + 7 = 15$ is solved using the properties of equality. Step 1: $2d + 7 = 15$ Step 2: $2d = 8$ Step 3: $d = 4$ Identify which property of equality is used to rewrite the equation from step 1 to step 2.

a)

Addition Property of Equality because you must add 7 to the right side.

b)

Addition Property of Equality because you must subtract 7 from each side.

c)

Subtraction Property of Equality because you must subtract 7 from each side.

d)

Subtraction Property of Equality because you must add 7 to each side.

46.

Solve $3y + 6 = 18$ . Choose the value of $y$ .

a)

$2$

b)

$3$

c)

$4$

d)

$6$

47.

Solve $4x - 10 = 16$ . Choose the value of $x$ .

a)

$5$

b)

$6.5$

c)

$7$

d)

$10$

48.

Solve $30 = 5p - 10$ .

a)

$4$

b)

$8$

c)

$25$

d)

$3$

49.

Solve $4(x + 9) = 6x + 14$ .

a)

$3$

b)

$6$

c)

$11$

d)

$60$

50.

Solve $3(x - 5) - x = 2x + 15$ .

a)

$7.5$

b)

$15$

c)

no solution

d)

all real numbers

51.

Solve $|y - 4| = 3$ . Choose the solution set.

a)

{ $1, 7$ }

b)

{ $-7, 7$ }

c)

{ $7$ }

d)

{ $-1$ }

52.

Which could be an equation for the graph shown? The number line shows two solid points at $x = -3$ and $x = 1$ .

a)

$|x + 1| = 2$

b)

$|x - 1| = 2$

c)

$|x + 2| = -1$

d)

$|x - 2| = 1$

53.

Which could be an equation for the graph shown? The number line shows two solid points at $x = 3$ and $x = 7$ .

a)

$|x - 2| = 5$

b)

$|x - 5| = 2$

c)

$|x + 2| = 5$

d)

$|x + 5| = 2$

54.

Solve $\frac{m}{15}=\frac{2}{5}$ .

a)

6

b)

12

c)

22

d)

30

55.

Solve $\frac{x+12}{6}=\frac{24}{9}$ .

a)

-28

b)

-2

c)

2

d)

2

56.

Solve $\frac{5}{2}=\frac{y}{10}$ .

a)

20

b)

22

c)

25

d)

30

57.

Solve $\frac{10}{x}=\frac{15}{6}$ .

a)

2

b)

4

c)

6

d)

8

58.

WATER The table shows the approximate weight, in pounds, of different amounts of water: 6 gallons = 50 pounds and 12 gallons = 100 pounds. Which proportion can be used to find the approximate weight w of 2 gallons of water?

a)

w/2 = 50/6

b)

w/6 = 2/50

c)

6/w = 50/2

d)

2/w = 50/6

59.

TENNIS The standard width of a tennis court is 27 feet. If 1 meter ≈ 3.3 feet, what is the width of the tennis court in meters? Round to the nearest tenth.

a)

7.9

b)

8.2

c)

8.8

d)

9.1

60.

FRUIT A bunch of bananas is placed on a scale reading 2.5 pounds. If 1 pound = 16 ounces, what is the weight of the bananas in ounces?

a)

32

b)

36

c)

40

d)

48

61.

LAUGHTER The table shows how many calories are burned when laughing for a given number of minutes: (x, y) pairs are (1, 3), (2, 5), (3, 7), (4, 9). Which equation represents this function?

a)

y = 2x + 1

b)

y = 2x - 1

c)

y = x + 2

d)

y = 3x

62.

Graph the line represented by 4x + 8y = -16 using the x- and y-intercepts. Which ordered pair of intercepts is correct?

a)

(-4, 0) and (0, -2)

b)

(-2, 0) and (0, -4)

c)

(4, 0) and (0, 2)

d)

(-8, 0) and (0, -4)

63.

AMUSEMENT PARK Tickets to an amusement park cost $35 for adults and $20 for children. The equation 35x + 20y = 140 shows how many adults x and children y can visit the amusement park with $140. If no children go, how many adults can go to the amusement park with $140?

a)

7

b)

5

c)

4

d)

2

64.

Which best describes the slope of a horizontal line?

a)

0

b)

Positive

c)

Negative

d)

Undefined

65.

GRADUATION In 2002, there were 164 seniors in the graduating class. In 2017, there were 185. What is the rate of change (slope) from 2002 to 2017?

a)

$-\tfrac{7}{5}$

b)

$\tfrac{3}{5}$

c)

$\tfrac{5}{7}$

d)

$\tfrac{7}{5}$

66.

SCHOOL LUNCH In 2015, Sam spent 300 $buying lunches. In 2017, he spent$ \ $500$ buying lunches. What was the rate of change (slope) from 2015 to 2017?

a)

200$ per year

b)

100$ per year

c)

100$ per year

d)

200$ per year

67.

Graph $y = 2x + 1$ . Which statement about this line is correct?

a)

Slope $2$ and y-intercept $1$

b)

Slope $\tfrac{1}{2}$ and y-intercept $2$

c)

Slope $-2$ and y-intercept $1$

d)

Slope $2$ and y-intercept $-1$

68.

Graph $y = -3$ . Which statement about this graph is correct?

a)

A horizontal line crossing the y-axis at $-3$

b)

A vertical line crossing the x-axis at $-3$

c)

A line through the origin with slope $-3$

d)

A line with slope $3$ and y-intercept $-3$

69.

Graph $y=-\frac{2}{3}x-4$ . Which statement about this line is correct?

a)

Slope $-\frac{2}{3}$ and y-intercept $-4$

b)

Slope $\frac{2}{3}$ and y-intercept $-4$

c)

Slope $-4$ and y-intercept $-\frac{2}{3}$

d)

Slope $4$ and y-intercept $\frac{2}{3}$

70.

PARTY A venue charges a booking fee to rent the space for an event. In addition, they charge an hourly rate to staff the event. The function $y = 125x + 750$ represents the cost of an event y that lasts x hours. What does $125$ represent?

a)

Booking fee

b)

Hourly rate

71.

PARTY A venue charges a booking fee to rent the space for an event. In addition, they charge an hourly rate to staff the event. The function $y = 125x + 750$ represents the cost of an event y that lasts x hours. What does $750$ represent?

a)

Booking fee

b)

Hourly rate

72.

BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function $y = 4x + 3.5$ represents the cost y of bowling x games. Which value represents the price per game?

a)

$4$

b)

$3.5$

c)

$7.5$

d)

$1.5$

73.

BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function $y = 4x + 3.5$ represents the cost y of bowling x games. Which value represents the shoe rental charge?

a)

$4$

b)

$3.5$

c)

$7.5$

d)

$1.5$

74.

Which graph has a slope of $-2$ ? Choose the option whose line passes through the labeled points shown.

a)

Graph through $(-2,0)$ and $(0,4)$

b)

Graph through $(-2,2)$ and $(2,0)$

c)

Graph through $(1,4)$ and $(3,0)$

d)

Graph through $(0,-2)$ and $(4,0)$

75.

Which is a linear equation with a slope of $\tfrac{1}{2}$ and a $y$ -intercept of $-5$ ?

a)

$y=-5x+\tfrac{1}{2}$

b)

$y=\tfrac{1}{2}x-5$

c)

$y=\tfrac{1}{2}x+5$

d)

$y=-\tfrac{1}{2}x$

76.

What is the slope of the line that passes through $(-3,2)$ and $(-3,4)$ ?

a)

$-\tfrac{4}{13}$

b)

$-\tfrac{13}{4}$

c)

$0$

d)

undefined

77.

Which is the graph of $y=3x-4$ ? Choose the option whose line passes through the labeled points shown.

a)

Graph through $(0,-4)$ and $(3,-3)$

b)

Graph through $(1,-1)$ and $(3,0)$

c)

Graph through $(-2,2)$ and $(0,-4)$

d)

Graph through $(0,-4)$ and $(2,2)$

78.

Which equation represents a line with a slope of -1 that passes through (0, 4)?

a)

$y=-x+4$

b)

$y=-x-4$

c)

$y=4x-1$

d)

$y=4x+1$

79.

Which equation represents a line that passes through the points (4, 5) and (6, 9)?

a)

$y=2x-3$

b)

$y=3x-7$

c)

$y=x+3$

d)

$y=x+7$

80.

MEMBERSHIPS A health club has a monthly membership fee of $20 and charges an additional fee of$ 1.50 for every exercise class attended. Which equation represents the total monthly cost, $y$ , for $x$ exercise classes?

a)

$y=1.5x+20$

b)

$y=20x+1.5$

c)

$y=20x-1.5$

d)

$y=1.5x-20$

81.

Which equation represents a line passing through the point (8, 33) with a slope of 3?

a)

$y=3x-15$

b)

$y=3x-8$

c)

$y=3x+33$

d)

$y=3x+9$

82.

Select all the equations that represent a line passing through the point (5, -2) with a slope of 4.

a)

$y-5=4(x+2)$

b)

$y+5=4(x-2)$

c)

$y+2=4(x-5)$

83.

Determine the slope, $m$ , of a line that passes through the points (2, 4) and (-4, 1).

a)

$-2.5$

b)

$-1.5$

c)

$0.5$

84.

Determine the $y$ -intercept, $b$ , of a line that passes through the points (2, 4) and (-4, 1).

a)

$3$

b)

$7$

c)

$9$

85.

POPCORN A movie theater sells popcorn in a reusable bucket for $3.50 and offers refills for$ 2.50 each. Which equation in slope-intercept form models the total cost in dollars, $y$ , for $x$ refills?

a)

$y=2.5x+3.5$

b)

$y=3.5x+2.5$

c)

$y=2.5x-3.5$

d)

$y=3.5x-2.5$

86.

Select all equations that represent a line passing through the points (7, 5) and (6, 1).

a)

$y-1=4(x-6)$

b)

$y-5=4(x-7)$

c)

$y-6=4(x-1)$

d)

$y-7=4(x-5)$

87.

Which equation represents a line passing through the points (4, 0) and (0, 3)?

a)

$3x+4y=12$

b)

$4x+3y=12$

c)

$4x-3y=12$

d)

$3x-4y=-1$

88.

Which point is on the graph of $y+4=\tfrac{1}{2}(x-7)$ ?

a)

$(-4,\,7)$

b)

$(4,\,-7)$

c)

$(7,\,-4)$

d)

$(7,\,4)$

89.

Consider these scatter plots. For Scatter Plot A, choose the type of correlation shown.

a)

a positive correlation

b)

a negative correlation

c)

no correlation

90.

Consider these scatter plots. For Scatter Plot B, choose the type of correlation shown.

a)

a positive correlation

b)

a negative correlation

c)

no correlation

91.

Determine which plot has the best line of fit for the scatter plot. Choose the best among A, B, or C.

a)

A

b)

B

c)

C

92.

A strong positive correlation between two variables indicates causation how often?

a)

always

b)

sometimes

c)

never

93.

Fill in the blanks to write the equation of a best-fit line for the scatter plot. Round to the nearest tenth. y = ____ x + ____

a)

y = 1.0x + 0.0

b)

y = 0.9x + 0.5

c)

y = 1.2x − 0.5

d)

y = 0.5x + 1.0

94.

STUDYING For eight weeks, a student kept track of the time he spent studying each week and his weekly algebra quiz scores. He then plotted the variables on a scatter plot and noticed that the points generally fell along a straight line. What type of relationship most likely exists between the two variables?

a)

Correlation and causation

b)

Correlation without causation

c)

Causation without correlation

d)

Neither causation nor correlation

95.

Determine whether the situation illustrates correlation and causation, correlation but not causation, or neither: A student created a scatter plot comparing height and shoe size for students in his school. The data show an increasing trend.

a)

correlation and causation

b)

correlation but not causation

c)

neither

96.

Determine whether the situation illustrates correlation and causation, correlation but not causation, or neither: A student created a scatter plot comparing shoe size and grade point average. The data showed a random arrangement of points.

a)

correlation and causation

b)

correlation but not causation

c)

neither

97.

Determine whether the situation illustrates correlation and causation, correlation but not causation, or neither: A scientific study of two types of flowering plants found that, when one type of plant grew well, the other plant did as well.

a)

correlation and causation

b)

correlation but not causation

c)

neither correlation nor causation

98.

Determine whether the situation illustrates correlation and causation, correlation but not causation, or neither: A study found that the sales of sunglasses increase during the summer months.

a)

correlation and causation

b)

correlation but not causation

c)

neither correlation nor causation

99.

Use a graphing calculator and linear regression to write the equation of a best-fit line for the data, rounded to the nearest tenth. Choose the slope of the best-fit line for the data

a)

1.3

b)

1.4

c)

2.0

100.

Use a graphing calculator and linear regression to write the equation of a best-fit line for the data, rounded to the nearest tenth. Choose the y-intercept of the best-fit line for the data.

a)

1.0

b)

1.3

c)

1.4

101.

Choose a correlation type to best match the correlation coefficient −0.95.

a)

Strong Correlation

b)

Weak Correlation

102.

Choose a correlation type to best match the correlation coefficient 0.15.

a)

Strong Correlation

b)

Weak Correlation

103.

Choose a correlation type to best match the correlation coefficient 0.88.

a)

Strong Correlation

b)

Weak Correlation

104.

ADVERTISING The table shows the number of items a business sells given the amount they spend on advertising. Use a graphing calculator to find an equation for the best-fit line for the data. Interpret the slope in the context of the data: The number of items sold changes by about how many items for each dollar spent on advertising, and in which direction?

a)

Increases by about 0.076 items per dollar

b)

Decreases by about 0.076 items per dollar

c)

Increases by about 0.98 items per dollar

d)

Increases by about 116.97 items per dollar

105.

ADVERTISING The table shows the number of items a business sells given the amount they spend on advertising. Use a graphing calculator to find an equation for the best-fit line for the data. Interpret the y-intercept in the context of the data: When the business spent how much on advertising, about how many items did they sell?

a)

$0 and 117 items

b)

$117 and 0 items

c)

$500 and 160 items

106.

ADVERTISING The table shows the number of items a business sells given the amount they spend on advertising. Use a graphing calculator to find an equation for the best-fit line for the data. Estimate the number of items the business will sell if they spend $3000 on advertising. Round to the nearest whole number.

a)

305

b)

345

c)

400

d)

520

107.

Use a graphing calculator and linear regression to write the equation of a best-fit line for the data in slope-intercept form. Round to the nearest hundredth. Choose the equation that best fits the data on table.

a)

y = −0.10x + 5.91

b)

y = 0.10x + 5.91

c)

y = −0.90x + 5.00

d)

y = 0.50x + 3.00

108.

Use a graphing calculator and linear regression. Choose the correlation coefficient that best matches the data on table. Round to the nearest hundredth.

a)

−0.10

b)

0.10

c)

−0.90

d)

0.90

109.

The graph shows the solution of which inequality?

a)

x ≤ −1

b)

x ≥ −1

c)

x > −1

d)

x < −1

110.

Which graph shows the solution set of −4 ≥ y? Select the correct description of the graph.

a)

Closed circle at −4 with an arrow to the right

b)

Open circle at −4 with an arrow to the left

c)

Closed circle at −4 with an arrow to the left

d)

Open circle at −4 with an arrow to the right

111.

AIRLINES An airline allows luggage that weighs 40 pounds or less. Which number line description correctly represents the allowed weights?

a)

Closed circle at 40 with an arrow to the left

b)

Open circle at 40 with an arrow to the left

c)

Closed circle at 40 with an arrow to the right

d)

Open circle at 40 with an arrow to the right

112.

Solve x − 5 < 8. Choose the solution set.

a)

{x | x < 13}

b)

{x | x ≤ 13}

c)

{x | x > 13}

d)

{x | x ≥ 13}

113.

Choose the inequality that represents the graph.

a)

$y\le5$

b)

$y\ge5$

c)

$y<5$

d)

$y>5$

114.

Which is the solution set of 8y + 1 ≥ 7y − 9?

a)

{y | y ≥ −10}

b)

{y | y ≤ −10}

c)

{y | y ≥ 10}

d)

{y | y ≤ 10}

115.

Which is the solution set of 32 < k + 4?

a)

{k | k < 28}

b)

{k | k > 28}

c)

{k | k < 36}

d)

{k | k > 36}

116.

Solve (2/3)x ≤ −24. Choose the solution written as an inequality.

a)

x ≤ −36

b)

x ≥ −36

c)

x ≤ −24

d)

x ≥ −24

117.

Write the solution of 7x + 10 < 52 in set-builder notation. Choose the correct form.

a)

{x | x < 6}

b)

{x | x ≤ 6}

c)

{x | x > 6}

d)

{x | x ≥ 6}

118.

Everett says that if you multiply or divide each side of an inequality by a negative number, the inequality sign changes direction. He gives this example: If $-2x < 6$ , then $x > -3$ . Is Everett’s statement true or false?

a)

True

b)

False

119.

READING Yolanda’s assignment is to read at least 45 pages of a novel. Yolanda has read 28 pages. Let $p$ be the number of pages she has left to read. Which choice shows the correct inequality for this situation and its solution?

a)

$p + 28 \ge 45$ ; $p \ge 17$

b)

$p + 45 \ge 28$ ; $p \ge -17$

c)

$p + 28 \le 45$ ; $p \le 17$

d)

$p - 28 \ge 45$ ; $p \ge 73$

120.

Solve $-6x > -18$ . Then select the graph that represents the solution set on a number line.

a)

An open circle at $3$ with an arrow extending to the left

b)

An open circle at $3$ with an arrow extending to the right

c)

A closed circle at $3$ with an arrow extending to the left

d)

A closed circle at $3$ with an arrow extending to the right

121.

PRINTERS Leroy packs one printer and some reams of paper into each box for delivery to an office. Each ream of paper weighs $4.5$ pounds and one printer weighs $9.5$ pounds. The maximum capacity of a box is $50$ pounds. Which inequality represents the number of reams of paper $n$ Leroy can safely pack in each box?

a)

$9.5 + 4.5n \le 50$

b)

$9.5 + 4.5n \ge 50$

c)

$4.5n \ge 50$

d)

$9.5n + 4.5 \le 5$

122.

Solve $2(x - 6) \ge -2$ . Which statement describes the solution?

a)

$x \ge 5$

b)

$x \le 5$

c)

$x \ge -5$

d)

$x \le -5$

123.

Solve $-3 + 8(x - 11) > 5$ . Choose the value that completes the statement $x > \_\_\_\_\_\_\_\_$ .

a)

$-12$

b)

$12$

c)

$96$

d)

$8$

124.

Which is not a true statement about $4x^{2} + 5x - 1$ ?

a)

The leading coefficient is 4.

b)

The expression is a binomial.

c)

The expression is in standard form.

d)

The degree of this expression is 2.

125.

Select all that are polynomials.

a)

$49x^{-1} - 64x^{2}$

b)

$-7x^3y$

c)

$45y^{2} - y^{2} + 8 + x^{3}$

d)

$-\dfrac{16}{y}$

e)

$3\sqrt[]{x}+6x^2$

126.

Complete the statement: Which expression is written in standard form?

a)

$15x + 3x^{5} + 5$

b)

$5x^{2} + 3x + 15$

c)

$5 + 3x + 15x^{2}$

127.

GARDENING A gardener’s plot of land can be represented by a triangle. Write a polynomial that represents the perimeter of the plot of land.

a)

$3x^2 + 5x + 12$

b)

$3x^2 + 3x + 9$

c)

$3x^2 + 4x + 8$

d)

$x^2 + 5x + 12$

128.

What is the perimeter of this figure? Perimeter is the sum of all four sides.

a)

$4x^2 - 10x + 1$

b)

$4x^2 - 12x + 1$

c)

$3x^2 - 10x + 1$

d)

$4x^2 - 8x - 1$

129.

Simplify $(5d^2+8d+1)−(2d^2+3d−1)$ . Choose the resulting polynomial in standard form.

a)

$7d^2+11d$

b)

$3d^4+5d^2+2$

c)

$7d^2+11d+2$

d)

$3d^2+5d+2$

130.

Which shows how to use the Distributive Property when simplifying 4x(3x + 5)?

a)

(4x)(3x) + 5

b)

(4x)(3x) + (4x)(5)

c)

5(4x) + 5(3x)

d)

(4x)(3x) − (4x)(5)

131.

Find $\left(3-4x+9x^2\right)$ $-\left(8x^2+7\right)$ . Choose the simplified result.

a)

$x^2 - 4x - 4$

b)

$17x^2 - 4x - 4$

c)

$x^2 - 4x + 10$

d)

$17x^2 + 3x - 10$

132.

Tina solved 8x = 4(10 − 3x) correctly. Which justification matches the step Original equation?

a)

8x = 4(10 − 3x)

8x=40-12x

20x=40

x=2

b)

8x = 4(10 − 3x)

8x = 40 − 12x

-4x=40

x=-10

c)

8x = 4(10 − 3x)

8x=40-3x

11x=40

x=40/11

d)

8x = 4(10 − 3x)

8x=40+3x

5x=40

x=8

133.

Tina solved 8x = 4(10 − 3x) correctly. Which justification matches the step Distributive Property?

a)

8x = 4(10 − 3x)

b)

8x = 40 − 12x

c)

20x = 40

d)

x = 2

134.

This model shows 5(2x + 2). Write the product, or area, in each rectangle.

a)

10x and 10

b)

5x and 2

c)

7x and 12

d)

4x and 6

135.

Match each expression to its simplified form: a. $−4(3x^2 + 2x − 5)$ . Which simplified form is correct?

a)

$-4x^2 + 4x$

b)

$-4x^2 - 4x$

c)

$−12x^2 + 8x − 20$

d)

$4x^2 - 4$

e)

$-12x^2 - 8x + 20$

136.

Match each expression to its simplified form: b. −4x(x + 1). Which simplified form is correct?

a)

$-4x^2 + 4x$

b)

$-4x^2 - 4x$

c)

$-12x^2 + 8x - 20$

d)

$4x^2 - 4$

e)

$-12x^2 - 8x + 20$

137.

Match each expression to its simplified form: c. $−4(1 − x^2)$ . Which simplified form is correct?

a)

$-4x^2 + 4x$

b)

$-4x^2 - 4x$

c)

$−12x^2 + 8x − 20$

d)

$4x^2 - 4$

e)

$−12x^2 − 8x + 20$

138.

What is the value of 3x² – 7x + 9 when x = 4?

a)

5

b)

29

c)

61

d)

85

139.

Absolute Value is the distance from a number to zero on a number line.

True or false: the absolute value is alwasy less than or equal to zero.

a)

True

b)

False

140.

What is the value of $2^4+\frac{1}{4}\left|9x+2\right|$ when x=-6?

a)

21

b)

22

c)

29

d)

30

141.

What is the value of $\left|-7\right|+5$

a)

-12

b)

-2

c)

2

d)

12

142.

Which is not equivalent to $\left|14-20\right|$ ?

a)

$\left|20-14\right|$

b)

$\left|20\right|-\left|14\right|$

c)

$\left|14\right|-\left|20\right|$

d)

$20-\left|14\right|$

143.

Use the expression in the table. Which expressions has the greatest value when x=2?

Which expressions has the greatest value when x=-1?

a)

A, D

b)

D, A

c)

B, C

d)

C, B

144.

Use the expressions in the table. Which expression has the greatest value when x=4? Which expression has the greatest value when x=-4?

a)

B, D

b)

D, B

c)

A, C

d)

C, A

145.

Evaluate each expression if m=-7 and n=9

$\left|m+n\right|$

$\left|-m+n\right|$

$-\left|m+\left(-n\right)\right|$

$-\left|-m\right|+n$

a)

2 , 16, -16, 2

b)

-16, 2, 2 , 16,

c)

2 , 16, -16, -2

d)

2, -2 , 16, -16,

Alg. 1 Fall Final Test Bank

Total questions: 145

Worksheet time: 1hrs 13mins

Similar Resources on Wayground