DCA Cycle 2

Exponents

100

Solve 2³

2 x 2 x 2 = 8

200

Solve 3⁴

3 x 3 x 3 x 3 = 81

300

Solve 6³

6 x 6 x 6 = 216

400

Which is the same as 7⁶?

A) 7 x 6

B) 6 x 6 x 6 x 6 x 6 x 6 x 6

C) 7 x 7 x 7 x 7 x 7 x 7

C) 7 x 7 x 7 x 7 x 7 x 7

500

Simplify 4⁵

A) 20

B) 1,024

C) 45

D) 400,000

B) 1,024

4 x 4 x 4 x 4 x 4 = 1,024

Order of Operations

100

Solve 2 + 10² - 10

92

200

Simplify

8(4 + 7) - 3² x 5

43

300

Solve 

7 + 15 / 5 x 2³

31

400

(4² + 5) x 10

210

500

50.2 + (30 - 27.5)²

56.45

Expressions

100

20 plus the product of e and 9

20 + 9e

or 

20 + e x 9

200

Write a phrase that goes with this expression:

2x + 18

2 times a number x increased by 18

300

Tina goes to the library to check out books each week. If he checks out b number of books each week, which expression can be used to find how many books she checks out in 7 weeks?

A) b + 7

B) b - 7

C) 7b

D) b / 7

C) 7b

Remember that a number next to a variable means multiplication.

400

Bob baked 54 cupcakes and distributed the cupcakes equally to g grandchildren. Which expression represents the number of cupcakes he gave each grandchild?

A) 54 + g

B) 54 - g

C) 54g

D) 54 / g

D) 54 / g

500

Which of the following expressions contains exactly three terms?

A) w + 7xy

B) 4 + 5z - 8xy + 10j

C) 10 + 5x - 8y

D) x + 10y

C) 10 + 5x - 8y

Terms are separated by plus and minus signs.

Distributive Property

100

Which expression is equivalent to 4(x + 5)?

A) 4x + 20

B) 4x + 5

C) x + 20

D) (4 + x)(4 + 5)

A) 4x + 20

4 is being multiplied by each number term inside the parentheses.

200

Which of the following expressions is equivalent to 3y + 27?

A) y(3 + 27)

B) 3(y + 27)

C) 3(y + 9)

D) 27y + 3

C) 3(y + 9)

300

Fill in the missing term.

18m + ___ = 6(3m + 9g)

54g

18m + 54g = 6(3m + 9g)

400

Fill in the blank:

18r + 14x = ___(9r + 7x)

2

18r + 14x = 2(9r + 7x)

500

Write an equivalent expression to:

5(2x + 3y)

10x + 15y

One-Step Equations

100

Solve f + 12 = 125

f = 113

200

Solve g - 17 = 42

g = 59

300

Solve 4d = 52

d = 13

400

Solve r / 9 = 12

r = 108

500

Solve

h + 22.75 = 138.25

h = 115.50