Integers & Rational Numbers
What is the sum of -5 and 12?
-5 + 12 = 7
Simplify: 3²
3² = 9
What is the slope of a horizontal line?
Slope of horizontal line = 0
What is the area of a rectangle with length 5 and width 3?
Area = 5 × 3 = 15 square units
What is the mean of 4, 6, 8?
Mean = (4 + 6 + 8)/3 = 18/3 = 6
Evaluate: -8 + (-15) + 10
-8 + (-15) + 10 = -13
Simplify: 5x + 2x - 3x
5x + 2x - 3x = 4x
Solve: x + 7 = 19
x + 7 = 19
→ x = 12
Find the volume of a cube with side length 4
Volume = 4³ = 64 cubic units
What is the median of 3, 7, 9, 10, 12?
Median of 3, 7, 9, 10, 12 = 9
A temperature drops from 6°C to -9°C. What is the change in temperature?
6°C to -9°C change = -15°C
Evaluate when x = 4: 2x² + 3x
x = 4
2(4²) + 3(4) = 2(16) + 12 = 32 + 12 = 44
Find the slope between points (2, 4) and (6, 12)
Slope = (12 - 4)/(6 - 2) = 8/4 = 2
What is the area of a triangle with base 10 and height 6?
Area = ½ × 10 × 6 = 30 square units
A bag has 5 red, 3 blue, and 2 green marbles. What is the probability of picking a blue marble?
Slope = (12 - 4)/(6 - 2) = 8/4 = 2
A submarine is at -120 meters and rises 35 meters, then dives 50 meters. Where is it now?
-120 + 35 = -85
-85 - 50 = -135 meters
Simplify: 3(2x - 5) + 4x
3(2x - 5) + 4x
= 6x - 15 + 4x
= 10x - 15
Solve: 3x - 5 = 2x + 9
3x - 5 = 2x + 9
x = 14
A cylinder has radius 3 cm and height 10 cm. What is its volume? (use π ≈ 3.14)
Volume = πr²h
= 3.14 × 3² × 10
= 3.14 × 9 × 10
= 282.6 cm³
Find the range of: 12, 18, 25, 9, 30, 14
Bigger number minus Smaller Number
30 - 9
21
Write an expression and evaluate: The product of -6 and the sum of 4 and -9.
(4 + -9) = -5
-6 × -5 = 30
Rewrite in exponential form and simplify: 2 × 2 × 2 × 2 × 2 × 3 × 3
2⁵ × 3²
= 32 × 9
= 288
Write the equation of a line with slope 3 passing through (2, 5)
y-y1=m(x-x1)
y-5=3(x-2)
y-5-3x-6
Equation: y = 3x - 1
Two similar shapes have a scale factor of 2:3. If the smaller shape has area 18 cm², what is the area of the larger shape?
Scale factor 2:3 → area scale = (3/2)² = 9/4
18 × 9/4 = 40.5 cm²
A spinner has 8 equal sections: 3 red, 2 blue, 3 green. If spun twice, what is the probability of getting red both times?
P(red) = 3/8
Twice: (3/8 × 3/8) = 9/64 = 9/64