Exponent rules
Simplify: 4² × 4³
4⁵
Simplify: (2x − 3y) + (3x + y)
5x − 2y
Expand: 3(x + 5)
3x + 15
Simplify: 3(x − 1) + 2(2x + 2)
7x + 1
Find the perimeter of a rectangle with length 7 cm and width 3 cm.
20 cm
Simplify: (-2)³ × (-2)⁴
(-2)⁷
Simplify: (5x − 4y) − (3x + 2y)
2x − 6y
Expand: 2x(x − 3)
2x² − 6x
Simplify: 2(5 − 3) − 2(x − 1)
-2x + 4
Find the area of a rectangle with length 10 m and width 4 m.
40 m²
Simplify: 3⁷ ÷ 3⁴
3³
Simplify: (3x² − 4xy + 6y) + (6x² − 8xy − 3y²)
9x² − 12xy − 3y² + 6y
Expand: 4(x + 3) + 2(x − 1)
6x + 10
Simplify: 5(2x − 3) − 4(3x + 6)
-2x − 39
Find the perimeter of a composite shape with sides 5 cm, 7 cm, 3 cm, 6 cm, and 4 cm.
25 cm
Simplify: (4³)²
4⁶
A rectangle has length (5x + 3) and width (2x − 7). Write an expression for the perimeter.
14x − 8
Expand: −x(x − 2)
−x² + 2x
Simplify: 2(x² − 3x + 6) − 3(2x² − 4x − 1)
-4x² + 6x + 15
Find the area of a shape made from a rectangle (8 cm × 2 cm) and a semicircle with radius 2 cm
41.13 cm²
Simplify: 5⁰ × 5³ ÷ 5²
5¹
Three authors earn: 2000 + n, 1000 + 2n, and 1500 + 3n. If 1800 books are sold, how much total money is paid?
15300
A rectangle has width x and length (2x + 9). Write and simplify an expression for the area.
2x² + 9x
Simplify: 4(8 + 3c) + 5(10 + 2c)
32c + 88
A rectangle has width x and length 3x − 5. Write an expression for its perimeter.
8x − 10