Integer Opps
What is -7 + 12?
5
Fraction add: What is 1/4 + 1/2?
3/4
Simplify: Combine like terms in 3x + 5x.
8x
Definition: What is | −8 | ?
8 away from 0
Rate word problem: If Mia walks 2 miles in 1/2 hour, what is her speed in miles per hour?
4 miles per hour
Subtract: Compute 5 - (-8).
13
Fraction subtract: Compute 7/8 - 3/8.
4/8=1/2
Evaluate: If x = -2, evaluate 4x - 3.
-11
Distance on number line: What is the distance between −3 and 4?
7
Money inequality: You have $50 and earn $3 per sale. Write an inequality for the number of sales s needed to have at least $80. (Write the inequality.)
50 + 3s ≥ 80
Multiply: Find (-6) × 9.
-54
Multiply fractions: Find (2/3) × (9/4).
18/12=3/2=1 1/2=1.5
Solve one-step: Solve 5x = 35.
x=7
Absolute-value equation: Solve |x| = 5.
x= -+5
Proportion: A map scale uses 1 cm : 5 km. On the map two cities are 8 cm apart. How many kilometers apart are the cities?
8 cm × 5 km/cm = 40 km
Divide: What is -24 ÷ 6?
-4
Divide with negatives: Compute (-5/6) ÷ (2/3).
-15/12=-5/4=-1 1/4=-1.25
Solve two-step: Solve 3x - 7 = 11.
x=6
Absolute-value subtraction: Find |−2 − 7|.
9
Multi-step: A recipe needs 3/4 cup sugar for 12 cookies. How much sugar for 30 cookies?
(30/12) × 3/4 = (2.5) × 3/4 = 1.875 cups (or 1 7/8 cups)
Multi-step: Evaluate (-3) + 4 × (-2). (Follow order of operations.)
-11
Convert and operate: Convert 3/5 to a decimal, then add 0.6.
1.20
Use properties: Simplify and factor: 6x + 9.
3(2x+3)
Real-world distance: A submarine is at −120 meters and a ship is at 20 meters. What is the distance between them?
140 meters
Mixed rational application: A box contains 5 red and 7 blue marbles. If you randomly choose one marble, what is the probability it is red? Express as a fraction and a decimal.
Probability = 5/12 ≈ 0.4167