Review Solving Linear Equations and Solutions of Equations

5(x -3) + 6 = 5x - 9

• one solution

• no solution

• infinitely many solutions

5(x -3) + 6 = 4x + 3

• one solution

• no solution

• infinitely many solutions

3x - 8 = 10 - 3(x - 4)

• The solutions is x = 5

• The solution is approximately x = 4.67

• The solution is approximately x = -4.67

• There is no solution.

• x = -2

• x = 3

• x = -3

• x = 2

Q1. How many apples are there?

• 1)

  4

• A)

  9

• 1)

  11

• A)

  20

Identify the option having two correct solutions for the equation 5x + 4y = 20

• (2,1) and (3,2)

• (1, 4) and (3,1)

• (0, 5) and (4, 0)

• (4, 3) and (3, 0)

Answer explanation

5x + 4y = 20 On taking (x = 0, y = 5), L.H.S = 5(0) + 4(5) = 20 = R.H.S On taking (x = 4, y = 0), L.H.S = 5(4) + 4(0) = 20 = R.H.S Therefore, (0, 5) and (4, 0) are two solutions of the given linear equation in two variables.

Select the equation that best represents the situation: Dr. Lahana takes 30 seconds to solve a Math problem. This is twice as much time as it takes Ms. Rosegreen to solve a Math problem.

• w + 2 = 30

• 2w = 30

• w - 2 = 30

Select the equation that best represents the situation: Dr. Lahana takes 30 seconds to solve a Math problem. This is twice as much time as it takes Ms. Rosegreen to solve a Math problem.

• w + 2 = 30

• 2w = 30

• w - 2 = 30

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3

Both shapes have the same perimeter. Solve for x.

• x = 12

• x = 17

• x = 32

• x = 22