Instructions
Complete each problem below. Show your work where necessary.
1. Solve the following equations:
a) 3x + 5 = 20
b) 2(x - 4) = 10
c) 5y - 15 = 0
2. Simplify the following expressions:
a) 4(3a + 5) - 2a
b) 6b + 2(3b - 4) - b
c) 2(x + 3) + 4(x - 1)
3. Graph the following linear equation on the coordinate plane:
y = 2x + 1
(Create a coordinate plane with x and y axes.
For each x-value from -3 to 3, calculate the corresponding y-value and plot.)
4. Word Problems:
a) Sarah has twice as many apples as Tom. If Tom has 6 apples, how many apples does Sarah have?
b) A car travels 60 miles per hour. How far will it travel in 2.5 hours?
5. Calculate the area of a rectangle with length 8 cm and width 5 cm:
Area = length × width
6. Find the value of the following expression:
(5 + 3) × (2 + 4)