Ratio and Proportion
A recipe uses 2 cups of sugar for every 3 cups of flour. What is the ratio of sugar to flour?
A. 2:3
B. 3:2
C. 2:5
D. 5:2
A. 2:3
Simplify: 3(x + 4)
A. 3x + 4
B. x + 12
C. 3x + 12
D. 3x + 7
Solve: x + 5 = 12
A. x = 6
B. x = 7
C. x = 8
D. x = 9
B. x = 7
What is -3 + 7?
A. 10
B. -10
C. 4
D. -4
C. 4
A car uses 5 gallons of gas to drive 150 miles. How many miles can it drive with 8 gallons of gas?
240 miles
Write the ratio of 6 apples to 9 oranges in simplest form.
2:3
Write an expression equivalent to 5y + 4 + 2y + 6.
7y + 10
Solve: 3x - 4 = 11
A. x = 5
B. x = 6
C. x = 4
D. x = 3
A. x = 5
Subtract: 5 - 9
-4
A rectangular garden has a length of (2x + 3) meters and width of (x + 1) meters. Write an expression for the perimeter of the garden and simplify.
2(2x + 3) + 2(x + 1)
4x + 6 + 2x + 2
6x + 8
A car travels 180 miles in 3 hours. What is the unit rate in miles per hour?
A. 60
B. 90
C. 30
D. 45
A. 60 miles per hour
Which of the following expressions is equivalent to 2(3x - 4) + 5x?
A. 6x - 8 + 5x
B. 11x - 4
C. 6x + 5x - 4
D. A and C
D. A and C
A. 6x - 8 + 5x
and
C. 6x + 5X - 4
Solve: 2x + 3 = 15
x = 6
What is -6 × -3?
A. -18
B. 18
C. 9
D. -9
B. 18
Lisa earns $10 per hour. She also gets a $20 bonus each week. If she made $90 last week, how many hours did she work? Write and solve an equation.
10h + 20 = 90
→ h = 7 hours
If 4 notebooks cost $10, how much would 9 notebooks cost at the same rate?
A. $20
B. $22.50
C. $25
D. $27
B. $22.50
Combine like terms: 4a + 3b - 2a + b
2a + 4b
Solve: 4x + 2 = 3x + 9
A. x = 8
B. x = 5
C. x = 7
D. x = 6
Divide: -20 ÷ 5
-4
A submarine is at -120 feet. It rises 45 feet. What is its new position?
A. -75 feet
B. -165 feet
C. 45 feet
D. -85 feet
A. -75 feet
A 5-pound bag of rice costs $8. What is the cost per pound? Show your work.
$1.60 per pound
Simplify:
4(2m - 1) - 3(m + 5)
Recall the box method/ distributive property and combining like terms
5m - 19
Solve:
5(x - 2) = 3x + 6
Recall distributive property. Isolating the variable.
x = 8
A diver is 15 feet below sea level. He descends 8 more feet. What is his new position relative to sea level?
-23 feet
If 5x - 2 = 18, what is x?
A. 5
B. 4
C. 3
D. 6
B. 4