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

Tags

CCSS.7.EE.B.4A

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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.7.EE.B.4A

• 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.

Tags

CCSS.8.EE.B.5

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.