Free Printable C9A Review

1.

Simplify:

\left(3x+4\right)+5\left(2x-7\right)

a)

13x-31

b)

13x-3

c)

10x+2

d)

13x+39

2.

Given a and b are integers, which of the following expressions does not represent a closed operation of integers?

a)

$a+b$

b)

$a-b$

c)

$a\cdot b$

d)

$a\div b$

3.

Sarah solved the following equation:

Line 1: 3(x-2)=27

Line 2: x-2=9

Line 3: x=11

What property was used between lines 2 and 3?

a)

Multiplication Property of Equality

b)

Addition Property of Equality

c)

Distributive Property

d)

Identify Property of Equality

4.

Given the equation

$5x+2=3x-2$

What property could be used more than once to solve for x?

a)

Multiplication Property of Equality

b)

Distributive Property

c)

Addition Property of Equality

d)

Identify Property of Multiplication

5.

Lauren solved the equation

$\frac{1}{3}\left(3x+9\right)=5+2x$

Her solution method is shown below.

\frac{1}{3}\left(3x+9\right)=5+2x

x+3=5+2x

x=2+2x

-x=2

x=-2

Which of the following properties did Lauren use to solve the equation?
i. Distribution Property
ii. Addition Property of Equality
iii. Multiplication Property of Equality

a)

i, ii

b)

i, iii

c)

ii, iii

d)

i, ii, iii

6.

Which of the following represents the solution to

$10=\frac{x}{3}+4$ ?

a)

x=18

b)

x=42

c)

x=2

d)

x=14/3

7.

Which of the following represents the solution of the inequality

$3x-4\ge\frac{1}{2}\left(2x+8\right)$

a)

$x\ge6$

b)

$x\ge4$

c)

$x\le4$

d)

$x\ge2$

8.

On Monday and Tuesday, Juan bought dinner for his family and spent the same amount of money on both days. On Monday, Juan bought a large fry for $2.50 and 5 hamburgers. On Tuesday, Juan bough ice cream for $5.50 and "a" number of hamburgers. The equation

$5x+2.50=ax+5.50$ can be used to model this situation. If hamburgers, x, cost $3.00 each, how many hamburgers did Juan buy on Tuesday?

a)

1 hamburger

b)

1.5 hamburger

c)

4 hamburgers

d)

8 hamburgers

9.

Which of the following expressions can be used to find the area of the shaded region shown?

a)

x^2+x+2

b)

$3x^2+x+6$

c)

$3x^2+9x+2$

d)

$4x^2-x+3$

10.

Which of the following relationships is true?

a)

A>B

b)

B>C

c)

C>B

d)

A=C

11.

Which one of the following results in an irrational number?

a)

$\left(\sqrt{2}+\sqrt{3}\right)\left(\sqrt{2}-\sqrt{3}\right)$

b)

$\frac{\sqrt{8}}{\sqrt{2}}$

c)

$\left(\sqrt{2}+\sqrt{3}\right)^2$

d)

$\frac{\left(\sqrt{3}+2\sqrt{3}\right)}{\sqrt{3}}$

12.

Which of the following correctly finishes the equation?

a)

2

b)

27

c)

1/3

d)

3

13.

Given the expression, which of the following is equivalent?

\sqrt{xy^3}

a)

$x^{\frac{1}{2}}y^{\frac{3}{2}}$

b)

$x^2y^6$

c)

$x^{\frac{1}{2}}y^{\frac{2}{3}}$

d)

$x^2y^{\frac{2}{3}}$

14.

Which of the following demonstrates that

\left(\frac{9}{5}\right)^{-2}=\frac{25}{81}

a)

$\left(\frac{25}{81}\right)^{\frac{1}{2}}=\frac{9}{5}$

b)

$\left(\frac{25}{81}\right)^{-\frac{1}{2}}=\frac{9}{5}$

c)

$\left(\frac{81}{25}\right)^{\frac{1}{2}}=\frac{5}{9}$

d)

$\left(\frac{81}{25}\right)^{-\frac{1}{2}}=\frac{9}{5}$

15.

A city park, shaped like a square, has an area of 2 square miles. The city manager whishes to calculate the perimeter of the park. Which is the correct perimeter, and is this value rational or irrational?

a)

$4\sqrt{2}$ miles and this value is irrational

b)

$\sqrt{2}\sqrt{2}$ miles and this value is rational

c)

$4\sqrt{2}$ miles, and this value is rational

d)

$\sqrt{2}\sqrt{2}$ miles and this value is irrational

16.

The figure shows a piece of land in the shape of a right triangle. Which of the following statements is correct?

a)

Both the area and the perimeter of the triangle are rational numbers.

b)

Both the area and the perimeter of the triangle are irrational numbers.

c)

The area of the triangle is a rational number but the perimeter is irrational.

d)

The area of the triangle is an irrational number but the perimeter is rational.

17.

A company wants to sell blocks of cheese in the shape of rectangular prisms. Each block of cheese must have a volume that is a rational number. Which of the following can be the length (l), width (w), and height (h) of a block of cheese.

a)

l= $\sqrt{2}$ w=3 h=6

b)

l=2 w= $3\sqrt{3}$ h= $2\sqrt{6}$

c)

l= $\sqrt{2}$ w= $3\sqrt{2}$ h= $6\sqrt{2}$

d)

l= $\sqrt{2}$ w= $3\sqrt{3}$ h= $2\sqrt{6}$

18.

Ben had $100 in his savings account. He adds $5.00 a week to his savings. According to the graph, how much money does Ben have in his savings account after 8 weeks?

a)

$40

b)

$135

c)

$140

d)

$145

19.

The formula below can be used to determine the area of a trapezoid.

A=\frac{1}{2}\left(b_1+b_2\right)h

Which equation shows the formula rewritten to solve for

b_1

in terms of the other variables?

a)

$b_1=\frac{\left(2A+b_2\right)}{h}$

b)

$b_1=\frac{\left(2A-b_2\right)}{h}$

c)

$b_1=\frac{2A}{h}+b_2$

d)

$b_1=\frac{2A}{h}-b_2$

20.

A rectangle has a length that is 4 units greater than its width. The equation below can be used to determine P, the perimeter of the rectangle, given w, the width of the rectangle.

P=2\left(w+4\right)+2w

Which equation represents w in terms of P for the same rectangle?

a)

$w=P+2$

b)

$w=P-2$

c)

$w=\frac{\left(P-8\right)}{4}$

d)

$w=\frac{P}{4}-8$

21.

A bungee jumper leaps off a bridge and bounces up and down at the end of a bungee cord. The period of the oscillation is given by $T=2\pi\sqrt{\frac{m}{k}}$ , where T is the time in seconds, is the jumper's mass in kilograms, and k is a constant that depends on the bungee cord. Which equation allows you to calculate the mass of the jumper as a function of the oscillation period, assuming that the constant k is known?

a)

$m=\frac{kT^2}{4\pi^2}$

b)

$m=\frac{kT^2}{2\pi}$

c)

$m=\frac{k^2T^2}{4\pi^2}$

d)

$m=k\sqrt{\frac{T}{2\pi}}$

C9A Review

Total questions: 21

Worksheet time: 40mins

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