Algebraic Equations

Expand the algebraic expression:
5(3f+4)

• 15f+20
• 8f+9
• 15f+9
• None of the above

Expand the algebraic expression:
 4(4g-3)

• 16g-3
• 16g+12
• 16g-7
• None of the above

Expand the algebraic expression:
0.5(18z-1.5)

• 9z-0.75
• 18.5z-0.75
• 9z-1
• None of the above

Simplify the algebraic expression:
6 + 7(5 - n)

• 42 + 7n
• 41 - n
• 41 - 7n
• 42 - 7n

Expand the algebraic expression:
6(d + 2)

• 6d + 2
• 8d
• 6d - 12
• 6d + 12

Simplify the algebraic expression:
4(3d)²

• 12d²
• 49d²
• 144d²
• None of the above

Which operation is NOT appropriate to solve the following equation:
3y=17

• Subtract 2y from both sides
• Divide both sides by 3
• Multiply both sides by one third
• All three methods are appropriate

Which operation is appropriate to solve the following equation:
f² = 196

• Divide both sides by f
• Take the square root of both sides
• Divide both sides by 196
• More than one of these is fine

Which operation is NOT an appropriate step to solve the following equation:
5y + 3 = 17 - 2y

• Add 2y to both sides
• Subtract 3 from both sides
• Add 17 to both sides
• All three methods are appropriate

Which of the following expressions are not equivalent?

• 3t + 17 - t - 1
• 2(t + 8)
• t² + 2t + 2 x 8 - t²
• 4t + 16 - 2t + 2