unit 5 math sample work answers

Answer 1

1. Find the value of x in the following equations:
a) 3x + 5 = 17
3x = 17 - 5
3x = 12
x = 4

b) 2(x+3) = 14
2x + 6 = 14
2x = 14 - 6
2x = 8
x = 4

2. Solve the following inequalities:
a) 2x + 3 < 7
2x < 7 - 3
2x < 4
x < 2

b) 5 - 3x > 7
-3x > 7 - 5
-3x > 2
x < -2/3

3. Calculate the area of a rectangle with length 6 cm and width 4 cm:
Area = length x width
Area = 6 cm x 4 cm
Area = 24 cm²

4. Simplify the following expressions:
a) 3(x+2) - 2(x-4)
3x + 6 - 2x + 8
x + 14

b) 4x² - 3x + 7 - (2x² + 5x - 1)
4x² - 3x + 7 - 2x² - 5x + 1
2x² - 8x + 8

5. Find the value of y in the equation 2y/3 = 8:
2y = 8 x 3
2y = 24
y = 12