Quadratics & Inequalities

Solve using the quadratic formula

x² + 6x = -8

• x= 1.125, -7.125

• x= 4, 2

• x= -1.125, 7.125

• x= -4, -2

Identify A, B, and C in the following equation:

x² -15x + 36 = 0

Solve this inequality:

5x - 3 ≤ 27

• x ≤ 4 ⅘

• x ≥ 6

• x ≤ 6

• x ≥ 4 ⅘

Solve using the quadratic formula:

3x² - 5x - 2 = 0

• x= 1, ⅔

• x= 2, -⅓

• x= -1, -⅔

• x= -2, ⅓

It takes Jack twice as long as Mary to make dinner. It takes Pearl 15 minutes longer than Mary to make dinner. Altogether, they take 95 minutes to make dinner. How long does it take Jack to make dinner?

There are four times as many baseballs in the bucket as there are on the ground. The bench has three less baseballs than the ground. There are 42 baseballs in the bucket and on the bench combined. How many baseballs are in the bucket?

The larger of two numbers is five more than three times the smaller number. Their sum is 77. What is the larger number?