Free Printable 1-1 to 1-3 Review

1.

Solve the linear equation: $5x - 3 = 2x + 9$ .

a)

$x = 4$

b)

$x = 3$

c)

$x = 2$

d)

$x = 5$

2.

Which of the following is a subset of the set $\{a, b, c\}$ ?

a)

$\{d\}$

b)

$\{a, b\}$

c)

$\{a, b, c, d\}$

d)

$\{e\}$

3.

Determine the number of solutions for the equation: $2\left(2x+5\right)=4x+10$ .

a)

One solution

b)

No solution

c)

Infinitely many solutions

d)

Two solutions

4.

Solve the equation: $\frac{3x}{4} + \frac{1}{2} = \frac{5}{4}$ .

a)

$x = 1$

b)

$x = \frac{1}{2}$

c)

$x = \frac{3}{2}$

d)

$x = 2$

5.

If 5 liters of a 30% sugar solution is mixed with a 60% sugar solution to create a 45% solution mix, how much of the 60% is needed?

a)

2 liters

b)

3 liters

c)

4 liters

d)

5 liters

6.

Classify the number $-\sqrt{16}$ in the real number system. Select all that apply:

a)

Natural number

b)

Whole number

c)

Integer

d)

Rational number

7.

Solve the linear equation: $7x - 2 = 3x + 10$ .

a)

$x = 3$

b)

$x = 4$

c)

$x = 2$

d)

$x = 5$

8.

Which of the following is a subset of the integers? Select all that apply:

a)

Rational

b)

Irrational

c)

Whole

d)

Natural

9.

Determine the number of solutions for the equation: $2\left(3x+3\right)=-3\left(2x+8\right)$ .

a)

One solution

b)

No solution

c)

Infinitely many solutions

d)

Two solutions

10.

Classify the number $\frac{7}{2}$ in the real number system.

a)

Natural number

b)

Whole number

c)

Integer

d)

Rational number

11.

Solve the linear equation: $9x - 4 = 5x + 12$ .

a)

$x = 4$

b)

$x = 3$

c)

$x = 2$

d)

$x = 5$

12.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

13.

Solve for x.

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

14.

a)

19

b)

-9

c)

-100

d)

-50

15.

a)

x= 6

b)

x= -6

c)

x= -8

d)

x= 8

16.

A rectangle has a length that is 3 times its width. If the width is w, what is the expression for the perimeter of the rectangle?

a)

P=6w

b)

P=8w

c)

P=10w

d)

P=12w

17.

If 10 liters of a $2 per liter blue Gatorade is mixed with a $5 per liter red Gatorade to create a $3 per liter purple Gatorade, how much of the red Gatorade is needed?

a)

4.5 liters

b)

5 liters

c)

6 liters

d)

5.5 liters

18.

What is the sum of a rational number and an irrational number?

a)

Always rational

b)

Always irrational

c)

Sometimes rational, sometimes irrational

d)

Cannot be determined

19.

If $a$ is a rational number and $b$ is an irrational number, which of the following is true about $a\times b$ ?

a)

$a\times b$ is always rational

b)

$a\times b$ is always irrational

c)

$a\times b$ can be either rational or irrational

d)

None of the above

20.

Consider the numbers $\frac{3}{4}$ and $\sqrt{2}$ . What is their sum, product, difference, and quotient?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole number

21.

Classify the number $\sqrt{3}$ as rational or irrational.

a)

Rational

b)

Irrational

22.

Which of the following numbers is rational? Select all that apply:

a)

$\frac{4}{5}$

b)

$-\sqrt{16}$

c)

$\pi$

d)

$2.757575...$

23.

Determine if the sum of $\sqrt{\frac{36}{9}}$ and $3$ is rational or irrational.

a)

Rational

b)

Irrational

24.

Arrange the following numbers in order from least to greatest: $\frac{1}{2}, \sqrt{3}, 2.5, \pi$ .

a)

$\frac{1}{2}, \sqrt{3}, 2.5, \pi$

b)

$\frac{1}{2}, 2.5, \sqrt{3}, \pi$

c)

$\frac{1}{2}, 2.5, \pi, \sqrt{3}$

d)

$\sqrt{3}, \frac{1}{2}, 2.5, \pi$

25.

Which of the following sets of numbers is ordered from least to greatest?

a)

$3, \frac{5}{2}, \sqrt{2}, 4$

b)

$\sqrt{2}, \frac{5}{2}, 3, 4$

c)

$4, 3, \frac{5}{2}, \sqrt{2}$

d)

$\frac{5}{2}, \sqrt{2}, 3, 4$

1-1 to 1-3 Review

Total questions: 25

Worksheet time: 21mins

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