Ratios and Proportions
A class has 12 boys and 18 girls. What is the ratio of boys to girls in simplest form?
What is 2:3
What is −8 + 15?
What is 7
Solve: x + 9 = 17
A bag has 3 red and 7 blue marbles. What is P(red)? Write your answer as a fraction in simplest form.
3/10
Find the area of a rectangle with length 8 cm and width 5 cm.
40 sq cm
Solve the proportion: x/8 = 15/24
What is x=5
What is −6 × (−7)?
What is 42
Solve: 3x = −24
x=-8
You roll a standard six-sided die. What is P(even number)?
1/2
Find the mean of: 6, 9, 12, 15, 18
12
If 4 pencils cost $1.80, how much do 10 pencils cost at the same rate?
What is $4.50
Add: 2/3 + 1/4. Write the answer in simplest form.
What is 11/12
Solve: 2x + 5 = 17
x=6
A spinner has 8 equal sections numbered 1–8. What is P(number greater than 5)?
3/8 (the numbers 6,7,8)
Two angles are supplementary. One measures 65°. What is the other?
115
A recipe uses 3 cups of flour for 24 cookies. How much flour is needed for 60 cookies?
Evaluate using order of operations: (−4)² + 3(7 − 10)
16 + 3(−3) = 16 − 9 = 7
Simplify: 4(x + 3) − 2(x − 1)
2x+14
You flip a coin AND roll a six-sided die. What is P(heads AND a 3)?
1/12
A jacket originally costs $80 and is on sale for 25% off. What is the sale price?
$60
On a map, 2 inches represents 40 miles. Two cities are 7.5 inches apart on the map. How many miles apart are they in real life?
What is 150 miles
Compute: 2⅓ + 1½ − ¾. Write the answer as a mixed number in simplest form.
What is 3 1/12 (common denominator 12: 28/12 + 18/12 − 9/12 = 37/12)
Solve: (x + 4)/3 = 7
x=17
A bag has 4 red, 6 blue, and 10 green marbles. You pick one marble, REPLACE it, then pick again. What is P(red both times)?
1/25 (4/20 × 4/20 = 1/5 × 1/5)
A triangle has angles measuring (2x)°, (3x)°, and (4x)°. What is the measure of the LARGEST angle?
80°