Algebra Trimester 1 Exam Review

5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

5(2x -1) = -5+ 10x

• x = 5
• x = 0
• all real numbers
• no solution

Elena is cutting a 30-foot piece of ribbon for a craft project. She cuts off 7 feet, and then cuts the remaining piece into 9 equal lengths of feet each. Which equation matches the situation?

• 7 + 9x = 30

• 30 = x - 7 - 9

• 30/x = 9-7

• x - 30 = 7(9)

Tags

CCSS.HSA.CED.A.3

Two consecutive even integers have a sum of 246. Which equation models this scenario? (HINT: 8 and 10 are consecutive even integers)

• x + 2 + x + 2 = 246

• 8 + 10 = 246

• 2x + 2 = 246

• (x)(x + 2) = 246

3| −8x| + 8 = 80

• {-7/3, 7/3}
• {-3,3}
• {11/3,-11/3}
• No Solution

| 2w - 1 | < 11

• No Solution
• All Real Numbers
• -5 < w < 6
• -6 < w < 5

| x - 2 | > 3
Is this an "and"  or an "or" problem?

• and
• or

What inequality is graphed?

• x > 2 and x ≤ −3

• x > 2 and x < −3

• x > 2 or x ≤ −3

• x > 2 or x < −3

You get a $2 discount at the bowling alley, if you spend at least $5. Each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?

• 2x + 10 ≥ 25
• 2x + 10 > 20
• 5 ≤ 2x + 8 ≤ 25

• 5 > -2 +2x + 10 < 25

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution