Algebra 1.1-1.2

Set G is the set of positive integers divisible by 4, and Set F is the set of perfect squares. List the first 3 elements of set H, which contains numbers in G that are also elements of F.

• 16, 36, 64

• 2, 4, 16

• 4, 8, 12

• 4, 16, 36

Determine whether the result of the operation will be rational or irrational.  $\frac{3}{4\ }+\ \frac{2}{3}=$  

• rational 

• irrational

Determine whether the result of the operation will be rational or irrational. $\frac{3}{4}+\frac{\sqrt{2}}{\text{3}}=$  

• rational

• irrational

Describe the error.
Ella says that the product of 5 and   $\sqrt{9}$  is an irrational number.

• Ella is correct, the product of 5 and  $\sqrt{9}$  is irrational, R x I = I

• Ella is incorrect because 5 and  $\sqrt{9}$  are rational numbers, R x R = R

Which of the following is considered both a rational number and an integer?

•  $\pi$  

•  $\sqrt{49}$  

• 2.82842...

•  $\sqrt{2}$  

 $\sqrt{\frac{4}{9}}$  ,  $\frac{1}{4}$  , 0.6  

Order from least to greatest.

•  $\sqrt{\frac{4}{9}}$  ,  $\frac{1}{4}$  , 0.6

•  $\frac{1}{4}$  , 0.6,  $\sqrt{\frac{4}{9}}$  

• 0.6 ,  $\sqrt{\frac{4}{9}}$  ,  $\frac{1}{4}$  

•  $\frac{1}{4}$  ,  $\sqrt{\frac{4}{9}}$  , 0.6

Original problem: x + 3 (2x − 1) = 11

Identify the property used.

• x + 6x − 3 = 11 Division Property of Equality

• x + 6x − 3 = 11 Addition Property of Equality

• x + 6x − 3 = 11 Combine like terms.

• x + 6x − 3 = 11 Distributive Property

Identify the error that Cameron made when solving the equation. 

6x − 2(x − 5) = −2.

• 6x − 2x − 10 = −2

• 4x − 10 = −2

• 4x − 10 + 10 = −2 + 10

•  $\frac{4x}{4}=\ \frac{8}{2}$  

Which of the following would be the correct step for division property of equality in the table shown.

• 11x - 10 = 34

• 11x = 34 +10

• 11x = 44

• x = $\frac{44}{11}$

Solve the equation.

4m − 5 = 11

• m = 4

• m = $\frac{6}{4}$

• m = $\frac{3}{2}$

• m = 8