Linear Problem Solving

3 subtracted from a number is equal to 12.

• 3 - x = 12

• 3 - 12x = 0

• x - 3 =12

• x - 12 = 3

5 times a number decreased by 2 is 4.

• 2 - 5x = 4

• 5x - 4 = 2

• 4 - 5x = 2

• 5x - 2 = 4

A number is 12 more than the other and their sum is 48. Which of the equation models the problem?

• x - 12 = 48

• x + 12 = 48

• 2x + 12 = 48

• 2x = 48

Twice the number decreased by 22 is 48. Which of the following equation models the problem

• 2x = 48

• 2x - 48 = 22

• 22 - 2x = 48

• 2x - 22 = 48

A number is 12 more than the other. Find the numbers if their sum is 48.

• 18 & 30

• 20 & 28

• 19 & 29

• 13 & 35

Rene is 6 years older than her younger sister. After 1 0 years, the sum of their ages will be 50 years. Find their present ages.

• 26 & 24

• 22 & 28

• 8 & 10

• 12 & 18

The length of a rectangle is 10 m more than its width. If the perimeter of rectangle is 80 m, find the dimensions of the rectangle.

• 30 m & 40 m

• 35 m & 45 m

• 20 m & 60 m

Adman’s father is 49 years old. He is 5 years older than four times Adman’s age. What is Adman’s age?

• Adman is 14 years old

• Adman is 13 years old

• Adman is 12 years old

• Adman is 11 years old

• 5

• 3

• -3

• 0

Answer explanation

The equation y = 3x + 5 is in slope-intercept form (y = mx + b), where m is the slope. Here, m = 3, indicating the slope of the line is 3. Therefore, the correct answer is 3.

Answer explanation

Lines that are parallel have the same slope. The slope of the given line, y = -2x + 4, is -2. The equation y = -2x + 1 also has a slope of -2, making it parallel to the original line.