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Question 1 |

Janet would like to purchase a $150.00 suit for work that is on sale reduced by 20%. She decides to open a new credit card account with the department store, thereby receiving an additional 10% off her purchase. How much will be charged on Janet’s new credit card for her suit?

A | $135.00 |

B | $105.00 |

C | $120.00 |

D | $108.00 |

E | $30.00 |

Question 2 |

Raquel worked 40 hrs this week and was paid $400. She gets paid time and \(\frac{1}{2}\) for every hour over the 40 hrs she works. If Raquel is scheduled to work 55 hrs next week at the same pay rate, how much will she get paid?

A | $625.00 |

B | $550.00 |

C | $415.00 |

D | $225.00 |

E | $455.00 |

Question 3 |

On Monday, Marie painted \(\frac{1}{2}\) of her bedroom before lunch and she painted \(\frac{1}{3}\) of the same bedroom after lunch. What fraction of her bedroom does she have left to paint on Tuesday in order to complete the job?

A | \(\displaystyle{\frac{1}{4}}\) |

B | \(\displaystyle{\frac{1}{5}}\) |

C | \(\displaystyle{\frac{1}{6}}\) |

D | \(\displaystyle{\frac{1}{2}}\) |

E | \(\displaystyle{\frac{5}{6}}\) |

Question 4 |

The side of a square is represented by \(2x -3\), find the area of the square in terms of \(x\).

A | \(\displaystyle{4x^2–9}\) |

B | \(\displaystyle{4x^2–12x+9}\) |

C | \(\displaystyle{8x–12}\) |

D | \(\displaystyle{4x^ 2–12x–9}\) |

E | \(\displaystyle{4x^2+12x+9}\) |

Question 5 |

If \({ x – 3 }\) is to \({ x + 4 }\) as \(1\) is to \(3\), Find \(x\).

A | \(\displaystyle{2\frac{1}{2}}\) |

B | \(\displaystyle{\frac{3}{4}}\) |

C | \(\displaystyle{6\frac{1}{2}}\) |

D | \(\displaystyle{1\frac{1}{4}}\) |

E | \(\displaystyle{\frac{2}{13}}\) |

Question 6 |

\[3.42 \times 10^ {-3} =\]

A | \(\displaystyle{0.00342}\) |

B | \(\displaystyle{3,420}\) |

C | \(\displaystyle{0.000342}\) |

D | \(\displaystyle{342}\) |

E | \(\displaystyle{0.342}\) |

Question 7 |

Evaluate: \[| -3 + 1 | - | 5 – 2 |\]

A | \(\displaystyle{-9}\) |

B | \(\displaystyle{-3}\) |

C | \(\displaystyle{11}\) |

D | \(\displaystyle{-1}\) |

E | \(\displaystyle{-5}\) |

Question 8 |

For all \(x\neq\pm 5\), \[\frac{x^2 + 10x +25 }{x^2 – 25 }=\]

A | \(\displaystyle{\frac{ x + 5 } {x – 5 }} \) |

B | \(\displaystyle{10x-1}\) |

C | \(\displaystyle{\frac{ x – 5 } { x + 5 }}\) |

D | \(\displaystyle{10x}\) |

E | \(\displaystyle{-1}\) |

Question 9 |

Simplify:
\[{\frac{\frac{ 1 } {x + 2} } { \frac{5}{y}}}\]

A | \(\displaystyle{\frac{y}{5x+2}}\) |

B | \(\displaystyle{\frac{5}{y(x+2)}}\) |

C | \(\displaystyle{\frac{y}{5x+10}}\) |

D | \(\displaystyle{\frac{5x+10}{y}}\) |

E | \(\displaystyle{\frac{x+2}{5y}}\) |

Question 10 |

Write an equation of a line that is perpendicular to \(y = 2x + 7\) and passes through the origin.

A | \(\displaystyle{y = -\frac{1}{2} x + 7}\) |

B | \(\displaystyle{y = -\frac{1}{2} x}\) |

C | \(\displaystyle{y=2x}\) |

D | \(\displaystyle{y=2x+7}\) |

E | \(\displaystyle{y = -\frac{1}{2} }\) |

Question 11 |

Simplify: \[\sqrt{50 x^3 y^4}\]

A | \(\displaystyle{5 x y^2 \sqrt{2x}}\) |

B | \(\displaystyle{y^2 \sqrt{ 50 x^3}}\) |

C | \(\displaystyle{25 x y^2 \sqrt{ x}}\) |

D | \(\displaystyle{5xy \sqrt{ 2x y^2}}\) |

E | \(\displaystyle{x^2 y^4 \sqrt{ 50x}}\) |

Question 12 |

If \(a = -2\) and \(b = 3\), evaluate \(4 a^3 – ab\)

A | \(\displaystyle{38}\) |

B | \(\displaystyle{-38}\) |

C | \(\displaystyle{-18}\) |

D | \(\displaystyle{-26}\) |

E | \(\displaystyle{26}\) |

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