PCA 2024

Integers

100

-45 +67 = ?

22

200

-120/-3 = ?

40

300

-13-14 = ?

-27

400

6-(-9) = ?

15

500

12-6+4-10-5(?) = 0

What number should the ? represent to make this equation true? 

? = 0

Adding and Subtracting Fractions

100

3/4 +2/4

5/4 or 1 1/4

200

3/10 - 1/6

8/60 = 2/15

300

2/3 + 4/5

22/15 or 1 7/15

400

3/6 + 2/42

23/42

500

1/2 + 2/6 - 4/12

1/2

Multiplying and Dividing Fractions

100

5/8 x 24/15

120/120=1

200

5/6 Divided by -21/5

-25/126

300

1_1/2  x 5/10

15/20 = 3/4

400

4/9 Divided by 2/3

2/3

500

8 Divided by 3/? = 32/3

What number should the ? represent to make this equation true?

4

Distribute and Simplify

100

Distribute:   -4(x+5)

-4x-20

200

Distribute:  6(2x+y)

12x+6y

300

Distribute and simplify: 8(2x+3x)

16x+24x = 40x

400

Distribute and solve:  5(x-2)=2x+2

5x-10=2x+2

x=4

500

Distribute and simplify: [5(24/8) + (42)(3)]-2

139

Random

100

Simplify: 2³⁼

2 x 2 x 2 = 8

200

Simplify: (3x⁶)(2x³)

6x⁹

300

Solve: 7a+15=-6

a=-3

400

Solve for r: r/3=70/42

r=5

500

When Lisa was 6 years old, her sister Lucy was half her age. If Lisa is 40 years old today, how old is Lucy?

37