Solving Equations and Inequalities

Solving Equations (Section 1-2)

For the equation, solve for the variable.

3t+3-t=15

Does t=6?

• True

  t=6

• False

  t≠6

Solving Equations (Section 1-2) For the equation, solve for the variable. 4(3x-2)=5(3+3x)-2x (Answer format x=___)

Solve for x

• x > 8

• x < 9

• x > 10

• x < 7

Compound Inequalities (Section 1-6)

For each inequality, solve for x.

− 8 < 2x + 4 ≤ 10

• -6 < x ≤ 3

• 3 < x ≤ -6

• -2 < x ≤ 7

• 7< x ≤ -2

Solving Equations (Section 1-2) For the equation, solve for the variable. 115v − 15 = 5 + 15v

• v=5

• v=4

For the equation, solve for the variable. Shane and Joesph play online video games. Shane buys 2 software packages and 2 months of gameplay. Joesph buys 1 software packages and 3 months of gameplay. Each software package costs $10. If their total cost is $80, what is the cost of one month of gameplay?

Inequalities (Section 1-5)

For each inequality, solve for x. Then select the correct graph of the solution(s).

2(2x − 2) ≥2 − 2x

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Inequalities (Section 1-5)

For each inequality, solve for x. Then select the correct graph of the solution(s).

5 − 7x < 7 − 2x + 3

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Compound Inequalities (Section 1-6) For each inequality, solve for x. 2x − 4 > 6 or 3x + 4 ≤ −2

• x ≤ −2 or

  x > 5

• x ≥ −2 or

  x < 5

• x > 5