Number Sense & Operations
(-5) – (-8)
Subtracting a negative is the same as adding:
(-5) – (-8) = -5 + 8 = 3
Express the ratio 12 boys to 16 girls in simplest form.
3:4
Evaluate the expression: 3x + 5 when x = 2
11
Classify an angle that measures 120°.
A- acute
b-Right angle
C.- Obtuse
D- Scalene
Obtuse
Emma has $50. She buys a sandwich for $7 and a drink for $3. How much money is left?
$40
A baker has 4.8 pounds of flour. She wants to make bags that each contain 1.2 pounds of flour. How many bags can she make?
4.8 ÷ 1.2 = 4
A map scale shows 1 inch = 50 miles. How many miles do 5 inches represent?
250 miles
Simplify the expression: 4y + 3y
7y
Find the perimeter of a rectangle with length 8 cm and width 5 cm.
26 cm
A car travels 150 miles in 3 hours. What is the average speed in mph?
50 mph
5/6 ÷ 2/3
1 1/4 or 5/4
A classroom has 8 red chairs for every 5 blue chairs. How many red chairs for 20 blue chairs?
32 chairs
Solve for x: x + 7 = 15
8
Find the area of a triangle with a base of 6 m and a height of 4 m.
formula for the area of a triangle: Area = ½ × base × height.
Plug in the numbers: Area = ½ × 6 × 4. Multiply: 6 × 4 = 24, then 24 ÷ 2 = 12. Include units: Area = 12 m².
A recipe uses 2 cups of sugar for every 5 cups of flour. How much sugar is needed for 15 cups of flour?
6 cups
Samantha bought 3 notebooks for $4 each and a pen for $2. She also had a $5 coupon that she used after buying the items. How much did she spend in total?
Step 1 – Write the expression:
3×4+2−53 \times 4 + 2 - 53×4+2−5
Step 2 – Solve using PEMDAS:
Multiply first: 3×4=123 \times 4 = 123×4=12
Add: 12+2=1412 + 2 = 1412+2=14
Subtract coupon: 14−5=914 - 5 = 914−5=9
✅ Answer: $9
A store sells 6 shirts for $54. How much does one shirt cost?
$9
Solve for n: 5n – 3 = 22
5
On a coordinate plane, find the distance between points (2,3) and (2,8).
5 units
A store sells 6 shirts for $54. How much does one shirt cost?
$9
John went to the store with $50. He bought 6 apples at $3 each, a sandwich for $7, and a drink for $2. On the way home, he found a $100 bill and deposited it in his bank account. Later, he paid $20 for a gift for his friend. How much money does John have now?
Apples: 6 × $3 = $18
Sandwich + drink: $7 + $2 = $9
Total spent: $18 + $9 = $27
Money left from $50: $50 – $27 = $23
Deposit $100: $23 + $100 = $123
Pay for gift: $123 – $20 = $103
A car travels 150 miles in 2.5 hours. What is the average speed in mph?
60 mph-
Average speed = distance ÷ time
Distance = 150 miles
Time = 2.5 hours
Simplify using distributive property: 3(2x + 4)
6x + 12
Find the circumference of a circle with a radius of 7 cm.
Circumference = 2 × π × radius.
Circumference = 2 × π × 7 = 14π. Using π ≈ 3.14, multiply: 14 × 3.14 = 43.96. Include units: Circumference ≈ 43.96 cm.
A baker made 48 cookies. She packs them equally into boxes of 6. How many boxes can she make, and how many cookies will be left over?
8 boxes, 0 leftover