Free Printable Week 5 Instruction Set (Term 2)

1.

Which of the following are the factors of x² + 2x – 3?

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

2.

[FACTORING DIFFERENCE OF PERFECT SQUARES; Practice questions 1-3]

Note what happens when b = 0:

(x - 3) (x + 3) =

a)

$x^2-9$

b)

$x^2-6x\ -9$

c)

$x^2+6x\ -9$

d)

$x^2+9$

3.

x²- 25 =

a)

(x + 5)(x - 5)

b)

(x - 5)(x - 5)

c)

(x + 5)(x + 5)

d)

Prime, can't be factored

4.

Which of the following is equivalent to $x^2-121$ ?

a)

$\left(x-11\right)^2$

b)

$\left(x+11\right)\left(x-11\right)$

c)

$\left(x-60.5\right)\left(x+60.5\right)$

d)

$\left(x+11\right)^2$

5.

4p²- 81 =

a)

(2p + 9)(2p - 9)

b)

(2p- 9)(2p - 9)

c)

(2p + 9)(2p + 9)

d)

Prime, can't be factored

6.

[SOLVE QUADRATIC EQUATIONS, Practice questions 4-8]

Which of the following are the solutions for $x^2=49?$

a)

x = -7 only

b)

x = 7 only

c)

x = 7 and x = -7

d)

x = 49

7.

Which of the following are the solutions for $x^2\ -10=54?$

a)

x = -8 only

b)

x = 8 only

c)

$x=\pm8$

d)

x = 44

8.

Which of the following are the solutions for $\left(x-2\right)^2-6=1$

a)

$x=\sqrt[]{7}$

b)

$x=\pm\ \sqrt[]{7}\ +\ 2$

c)

$x=\pm\ \sqrt[]{7}\ -\ 2$

d)

$x=9$

9.

x = 4 is a solution for which of the following equations?

a)

$x\ -10\ =\ 20$

b)

$x^2-4\ =\ 21$

c)

$x^2-8\ =8$

d)

$\sqrt[]{x\ -4}=10$

10.

When fifteen is taken away from the square of a number (n), the result is 10. What is the value of n for n > 0?

a)

5

b)

-5

c)

10

d)

-10

11.

What are the solutions of $x^2+5x+6=0$ ?

a)

x = 2 and x = -3

b)

x = -1 and x = 6

c)

x = -2 and x = -3

d)

x = -2 and x = 3

12.

What are the solutions of this equation? $\left(3x-9\right)\left(x+5\right)=0$

a)

$x=9\ ,\ x=5$

b)

$x=-9,\ x=-5$

c)

$x=3\ ,\ x=-5$

d)

$x=-3,\ x=5$

13.

$For\ what\ values\ of\ x\ does\ 2x\left(6x-3\right)=0?$

a)

$x=0,\ x=-\frac{1}{2}$

b)

$x=1,\ x=-\frac{1}{2}$

c)

$x=1\ ,\ x=2$

d)

$x=0,\ x=\frac{1}{2}$

14.

For what values of a does 16a² - 9 = 0?

a)

$a=-\frac{3}{4},\ a\ =\ \frac{3}{4}$

b)

$a=-\frac{4}{3},\ a\ =\ \frac{4}{3}$

c)

$a=-\frac{9}{16},\ a\ =\ \frac{9}{16}$

d)

$a=-\frac{16}{9},\ a\ =\ \frac{16}{9}$

15.

a = 2 and a = -5 are solutions to which of the following equations?

a)

$a^2-10\ =15$

b)

$a^2+3a-10=0$

c)

$a^2-3a-10=0$

d)

$a^2+3a+10=0$

16.

$For\ what\ values\ of\ x\ does\ \ x^2+7x=-12?$

a)

$x=3,\ x=4$

b)

$x=-3,\ x=-4$

c)

$x=6\ ,\ x=2$

d)

$x=-2,\ x=6$

17.

[TRANSLATE QUADRATIC EXPRESSIONS Practice Set 9-11]

The product of two consecutive positive integers is 132. What is the value of the smaller integer?

a)

11

b)

12

c)

10

d)

9

18.

A rectangle of length x inches and width five inches more than the length, has an area of 24 sq inches, what is a possible value of x?

a)

8

b)

3

c)

12

d)

5

19.

A rectangular garden has an area of 15 square feet. The length of the garden is two feet less than the width. What is the perimeter of the rectangle in feet?

a)

30

b)

60

c)

16

d)

19

20.

[GEOMETRY, Practice set 12-15]

What is the area of the triangle shown?

a)

20 yd²

b)

40 yd²

c)

80 yd²

d)

18 yd²

21.

What of the following is the area of the given circle in square centimeters?

a)

$36\pi$

b)

$6\pi$

c)

$9$

d)

$9\pi$

22.

What is the area of the semicircle shown?

a)

$8\pi\ cm^2$

b)

$32\pi\ cm^2$

c)

$64\pi\ cm^2$

d)

$16\pi\ cm^2$

23.

VOLUME of a 3D shape = AREA OF THE BASE X HEIGHT

What is the volume of the shown prism?

a)

20 cubic feet

b)

8 cubic feet

c)

40 cubic feet

d)

11 cubic feet

24.

Victor has a shipping box which is a cube with edges of 10 inches. Which expression can be used to find the volume of the cube?

a)

$10\times3$

b)

$10^3$

c)

$10\times4$

d)

$\sqrt[]{10}$

25.

Which of the following is closest to the volume of this cylinder in cubic meters?

a)

$27\pi$

b)

$540\pi$

c)

$90\pi$

d)

$21\pi$

26.

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, in cubic feet?

a)

$23\pi$

b)

$30\pi$

c)

$300\pi$

d)

$1200\pi$

27.

Hint: To find the area of an irregular figure, find the areas of the parts and either ADD or SUBTRACT to find the area you are asked to find.

A fountain in the middle of a garden has a length of 5 ft. and a width of 7 ft. The garden around it is 14 ft. long and 15 ft. wide. What is the area of the garden, not including the fountain, in square feet?

a)

210

b)

175

c)

35

d)

245

28.

What is the area of the given figure?

a)

40 sq cm

b)

52 sq cm

c)

67 sq cm

d)

72 sq cm

29.

What is the area of the given figure?

a)

$40x^2+6x$

b)

$18x$

c)

$18x^2$

d)

$30x^2$

30.

The area of the given square is 36 sq ft. Find the value of x?

a)

1

b)

2

c)

3

d)

6

31.

[WORD PROBLEMS, Practice set 16-19]

Tony has 3 gallons of water. He wants to divide the water into pitchers, each of which hold a quart each. How many pitchers will he need?

[1 gallon = 4 quarts]

a)

3

b)

12

c)

4

d)

7

32.

A square of side length 10 cm is enlarged such that the length is 2 more than the original and the width is 5 more than the original width. How much new area is added in the enlarged figure?

a)

$10\ cm^2$

b)

$20\ cm^2$

c)

$50\ cm^2$

d)

$80\ cm^2$

33.

Sara needs 4 pieces of wood that are each 2 feet and 5 inches long. What is the total length of wood that she needs?

a)

8 feet 6 inches

b)

9 feet 8 inches

c)

8 feet

d)

28 feet

34.

At a wedding, there were 20 chairs in the first row. Each successive row had 2 more chairs than the previous row. If there were 5 rows of chairs, how many chairs were there in all?

a)

66

b)

120

c)

150

d)

42

35.

Lisa is tiling her rectangular-shaped kitchen floor with tiles. The length of the kitchen is 8 feet by 12 feet. She is looking at buying square tiles of 2 feet by 2 feet. How many tiles does she need to buy?

a)

20

b)

24

c)

48

d)

100

36.

How many cubes, each with an edge of 2 inches, can fit in a big rectangular prism which measures 10 inches by 4 inches by 10 inches?

a)

200

b)

80

c)

50

d)

400

37.

[PERCENT / DECIMAL / FRACTION CONVERSIONS AND COMPARISONS, Practice questions 20-22]

What is the value of 37% in decimal form?

a)

3.7

b)

37

c)

0.37

d)

37.00

38.

Change 0.009 to a percent.

a)

0.9%

b)

0.09%

c)

9%

d)

9.00%

39.

MEMORIZE these common fractions and their percent and decimal forms.

What is the value of 3/4 in decimal form?

a)

0.5

b)

0.25

c)

0.75

d)

1.25

40.

What is 70% in fraction form?

Hint: If 10% is $\frac{1}{10},$ then 70% is...

a)

70

b)

$\frac{7}{10}$

c)

$\frac{70}{10}$

d)

$\frac{1}{7}$

41.

Which of the following orders $75\%,\frac{9}{10},and\ 0.09$ from greatest to least?

a)

$75\%,\ \frac{9}{10},\ 0.09$

b)

$0.09,\ 75\%,\ \frac{9}{10}$

c)

$\frac{9}{10},\ 75\%,\ 0.09$

d)

$75\%,\ \frac{9}{10},\ 0.09$

42.

Order 5/8, 60%, and 0.62 from least to greatest.

a)

$0.62,\ \frac{5}{8},\ 60\%$

b)

$\frac{5}{8},\ 0.62,\ 60\%$

c)

$60\%,\ \frac{5}{8},\ 0.62$

d)

$60\%,\ 0.62,\ \frac{5}{8}$

43.

Which of the following statements is true?

a)

$\frac{3}{4}>\frac{4}{5}$

b)

$\frac{2}{3}>\frac{1}{8}$

c)

$\frac{2}{3}<\frac{3}{8}$

d)

$\frac{2}{5}>\frac{3}{7}$

44.

[PERCENTS WORD PROBLEMS, Practice questions 23-27]

Macy's is advertising an $85 dress for 40% off. How much is the discount?

a)

$34

b)

$51

c)

$21

d)

$40

45.

A 55 inch TV at Walmart has a price of 250 dollars and is being sold at a 20% discount. What is the price paid for the TV after the discount?

a)

$300

b)

$200

c)

$50

d)

$230

46.

The population of a city is decreasing at the rate of 3% every year. If the population this year is 75,000, what will the city's population be next year?

a)

72,750

b)

73,500

c)

74,250

d)

71,000

47.

A bank is offering simple interest of 4.5% on savings accounts for one year. How much interest would a deposit of $2400 earn in one year?

a)

$108

b)

$96

c)

$120

d)

$135

48.

May earns $3000 monthly. She pays 15% of her salary as taxes. Her friend Hannah earns $2800 monthly, but pays 1/7 of her income as taxes. What is the difference between the take home pay of the friends?

a)

$75

b)

$30

c)

$100

d)

$150

49.

A store marks up the price of a phone by 15%. If the price of the phone before the markup was $300, what is the new price of the phone?

a)

$255

b)

$345

c)

$330

d)

$270

50.

The price of a television streaming service increased from $20 to $23 a month. What was the percent increase in the price?

a)

15%

b)

10%

c)

20%

d)

5%

51.

The price of a dozen eggs has increased from $4 a dozen to $6.50 a dozen. What is the percent increase in price?

a)

62.5%

b)

45%

c)

50%

d)

38%

52.

A pair of shoes at a department store has a price of P dollars. Which of the following represents the price of the shoes, in terms of P, after a 20% discount?

a)

0.20P

b)

0.80P

c)

20P

d)

80P

53.

The original price of a shirt is x dollars. What is the price of the shirt, in terms of x, after a 12% discount?

a)

$12x

b)

$88x

c)

$0.12x

d)

$0.88x

54.

P represents the original price of an item at a store. What is the sales price of the item, in terms of P, after a discount of 10%?

a)

0.10P

b)

0.90P

c)

1.10P

d)

1 - 0.10P

55.

The regular price of a shirt is x dollars. What is the price of this shirt if there is a 25% discount and a customer has a $10-off coupon?

a)

10 - 25x

b)

0.25x - 10

c)

10 - 75x

d)

0.75x - 10

56.

The circle graph shows the transportation method for the 1,200 students at a middle school. How many students walk to school?

a)

12

b)

60

c)

120

d)

600

57.

If 200 customers order salad each day, which of the following is the difference between the number who choose Ranch and the number who choose Italian dressing?

a)

10

b)

50

c)

70

d)

80

58.

The chart shows the number of cars sold at a car dealership in Austin over the 4 years ending in 2024. If the same trend continues in car sales, which of the following could be the number of expected car sales in 2025?

a)

45000

b)

60

c)

60,000

d)

45

59.

The chart shows the number of cars sold at a car dealership in Austin over the 4 years ending in 2024. What is the percent increase in car sales between 2023 and 2024?

a)

50%

b)

33.3%

c)

25%

d)

75%

60.

The chart shows the number of snacks sold at a gas station in Austin over the first four months in 2024. If the dealership sells 20% more snacks in May, than in April, how many snacks would have been sold in May?

a)

5.4

b)

54

c)

540

d)

5400

Week 5 Instruction Set (Term 2)

Total questions: 60

Worksheet time: 51mins

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