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Practice: Write and Evaluate Expressions

Total questions: 24

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Translate the verbal phrase into an algebraic expression. Use a fraction bar for division:

The product of 9 and a number, g

a)

9+g9+g

b)

9−g9-g

c)

9g9g

d)

g9\dfrac{g}{9}

2.

Translate the verbal phrase into an algebraic expression. Use a fraction bar for division:

15 less than a number, y

a)

15−y15-y

b)

y+15y+15

c)

y−15y-15

d)

15y15y

3.

Translate the verbal phrase into an algebraic expression. Use a fraction bar for division:

The quotient of m and 4

a)

4m\dfrac{4}{m}

b)

m4\dfrac{m}{4}

c)

m−4m-4

d)

4m4m

4.

Translate the verbal phrase into an algebraic expression. Use a fraction bar for division:

b more than 20

a)

b−20b-20

b)

20−b20-b

c)

20+b20+b

d)

20b20b

5.

Translate the verbal phrase into an algebraic expression. Use a fraction bar for division:

n squared, increased by 10

a)

n2−10n^2-10

b)

10n210n^2

c)

n2+10n^2+10

d)

(n+10)2(n+10)^2

6.

Translate the verbal phrase into an algebraic expression. Use a fraction bar for division:

Subtract 5 from x. Then, multiply by 2.

a)

2x−52x-5

b)

2(x−5)2(x-5)

c)

x−52\dfrac{x-5}{2}

d)

2x+52x+5

7.

Evaluate 10−z10-z for z=7z=7

a)

1717

b)

33

c)

−3-3

d)

107\dfrac{10}{7}

8.

Evaluate 3x6\dfrac{3x}{6} for x=6x=6

a)

3636

b)

33

c)

99

d)

11

9.

Evaluate h(h−10)h(h-10) for h=25h=25

a)

350350

b)

375375

c)

250250

d)

150150

10.

Evaluate a−9+3ba-9+3b for a=12a=12 and b=4b=4

a)

33

b)

1515

c)

2121

d)

2727

11.

Evaluate 12−3n12-3n for n=2.4n=2.4

a)

14.414.4

b)

9.69.6

c)

4.84.8

d)

−4.8-4.8

12.

Evaluate 12y2\dfrac{1}{2}y^2 for y=4y=4

a)

66

b)

88

c)

1010

d)

1212

13.

Harriet has $25 in her savings account. She will add $5 each week and not take any money out of her account. Which expression represents the amount of money in her savings account after x weeks?

a)

25x+525x+5

b)

5x+255x+25

c)

25(x+5)25(x+5)

d)

5(x+25)5(x+25)

14.

The expression 3n+43n+4 represents Mary Beth's stamps after nn weeks. How many stamps does Mary Beth have when n=9n=9 ?

a)

2727

b)

3131

c)

3434

d)

3737

15.

Which expression represents the statement:

eight less than three times a number?

a)

8−3n8-3n

b)

3(n−8)3(n-8)

c)

3n−83n-8

d)

3(8−n)3(8-n)

16.

Write an expression that matches the statement: Add yy and 1515 . Then, divide by 44 .

a)

y+154y+\dfrac{15}{4}

b)

y4+15\dfrac{y}{4}+15

c)

y+154\dfrac{y+15}{4}

d)

4(y+15)4(y+15)

17.

You have a gift card with a $50 balance. You purchase 3 shirts, each costing s dollars. Write an algebraic expression that represents the remaining balance on your gift card.

a)

50+3s50+3s

b)

3s−503s-50

c)

50−3s50-3s

d)

53−s53-s

18.

Lila starts with $150 in her savings account. Each week, she deposits an additional $25. Write an algebraic expression that represents Lila's total balance after x weeks.

a)

150x+25150x+25

b)

150+25x150+25x

c)

25x−15025x-150

d)

150−25x150-25x

19.

Which verbal phrases represent the expression n - 8? Select all that apply.

a)

Eight less than n

b)

n less than eight

c)

The difference of n and eight

d)

Eight subtracted from n

e)

n decreased by eight

20.

Which verbal phrases represent the expression 2x + 10?

a)

Ten more than twice a number

b)

The sum of 2 and x , plus 10

c)

Two times a number, increased by ten

d)

The product of 2 and a number, plus ten

e)

Ten added to the product of 2 and x

21.

If x=4x=4 , which of the following expressions have a value of 1616 ? Select all that apply.

a)

x2x^2

b)

2x−82x-8

c)

2(x+4)2(x+4)

d)

64x\dfrac{64}{x}

22.

Which of the following expressions result in a value of 1010 when n=5n=5 and y=2y=2 ? Select all that apply.

a)

nyny

b)

n+y+3n+y+3

c)

3(n+y)3(n+y)

d)

12n3y\dfrac{12n}{3y}

23.

The volume of a cube is s3s^3 , where ss is the side length. Find the volume of a plastic cube building block with a side length of 15\tfrac{1}{5} centimeters.

a)

125 cm3\tfrac{1}{25}\text{ cm}^3

b)

1125 cm3\tfrac{1}{125}\text{ cm}^3

c)

325 cm3\tfrac{3}{25}\text{ cm}^3

d)

5125 cm3\tfrac{5}{125}\text{ cm}^3

24.

The formula A=12bhA=\tfrac{1}{2}bh shows how the area of a triangle is related to its base bb and height hh . What is the area of a triangle that has a base of 88 cm and a height of 1010 cm?

a)

18 cm218\text{ cm}^2

b)

20 cm220\text{ cm}^2

c)

40 cm240\text{ cm}^2

d)

80 cm280\text{ cm}^2