Mixed Equations and Inequalities

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1

• k≤1

• k≥1

• k ≥ -1

Tags

TEKS.MATH.7.11A

15 + 7x ≥ 29

• x ≥ 2

• x ≥ -2

• x ≤ 2

• x > 2

Tags

TEKS.MATH.7.11A

Solve  8 -3x = -13

• 7

• 8

• 9

• 10

Tags

TEKS.MATH.7.11A

Solve 2x - 3 = 1 

• 3

• 2

• 1

• -2

Tags

TEKS.MATH.8.8C

TEKS.MATH.6.10A

TEKS.MATH.7.11A

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

• 5

• -5

• -10

• 15

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)

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

Solve for x.

• x = 56

• x = 8/7

• x = 24/7

• x = 168

Which equation matches this model?

• 7x + 3 = 23

• 2x + 4= 10

• 3x  - 8 = 3

• 4x + 3 =9