2024 Enhanced Algebra Semester Exam

4x + 2(x - 6) = 12

• x = 6
• x = 4
• x = 2
• x = -2

solve 5(6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Find the error in the problem below

19 - 2k = 3k - 1

+3k +3k

19 + 1k = -1

-19 -19

k = -20

• They should have divided by 1 for the last step

• They should add 19 instead of subtracting 19

• I can not find an error

• Instead of adding 3k they should subtract 3k

Solve:
3x + 15 = 3(x + 5)

• No Solution
• x = 15
• Infinitely Many Solutions
• x = 0

Which property of real numbers justifies the work shown from Step 1 to Step 2?

• Distributive Property
• Commutative Property
• Identity Property
• Associative Property

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

• 3h − 2 ≤ 14

• 3h + 2 ≤ 14

• 3h − 2 ≥ 14

• 3h + 2 ≥ 14

 $y\ =\ 2x\ -2\ \ \ solve\ for\ x$  

•  $x\ =\ \frac{y-2}{2}$  

•  $x\ =\ 2y-2$  

•  $x=\frac{y+2}{2}$  

•  $x\ =\ y\ +2$  

Solve m - n = 5 for m.

• m = n + 5

• m = n - 5

• m = 5n

• m = 5 - n

Solve:

y = mx + b , for b

• b = y - mx

• b = y + mx

• b = mx - y

• b = -y - mx