Equations and Inequalities Quiz

Solve for x
∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3   x = -6

• x = 3   x = -12

• x = 6   x = -12

What does x equal?

2x + 10 = 22

• 2

• 6

• 8

• 4

|6 - 2k| = 18

• k = -6

• k = -6, k = 12

• k = -6, k = -12

• k = -6, k = 5

Solve the inequality. 
|m| + 5 < 9

• m < 4

• m < -4

• -4 < m < 4

• m < 4,-4

Write the slope-intercept form of the of the line through the given point with the given slope:

Mathematical Equivalence

ON

Mario’s Pizza charged $7 for a medium pizza plus $0.75 per additional topping.

x: number of toppings y: cost of pizza

Write the equation for the cost of the pizza in slope-intercept form.

​ (a)  

• Mario

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day.

Write a linear equation to represent this situation.

Mathematical Equivalence

ON

Answer explanation

Because this is a linear function, we will use slope-intercept form (y = mx + b).

$80 is the starting or fixed cost which represents the b, or the y-intercept.

$45 is the rate per hour which represents the m, or the slope.

Therefore, the equation is y = 45x + 80.

Tags

A.2(A)

If b=6 and m=3, what is the correct slope intercept equation? (a)  

• y=3x+6

• none

• y=3x-6

• y=6x+3

Momin can currently bench 150 lbs. Write an equation to determine how much he can bench in t months if he can bench 15 more each month.

Mathematical Equivalence

ON

The slope parallel to the equation f(x)=5x-10 is (a)  

• 5

• -5

• -10

• 15