Unit 1 Review: Foundations of Algebra

Math Response

Simplify the expression.

$$\frac{-4\cdot\left(-3\right)^2+12}{10-6}$$

Type answer here

Correct Answer: -6

Deg^°

Rad

Multiple Choice

Maria spent $$\frac{1}{3}$$ of the money her grandparents gave her on a book. She also spent $$\frac{1}{9}$$ of the money on a bag of candy. What fraction of the payment has Maria spent? 

• $$\frac{1}{6}$$

• $$\frac{5}{9}$$

• $$\frac{4}{9}$$

Multiple Choice

Robert bought 2 burgers for $3.50 each and 3 medium fries for $1.20 each. How much money did Robert spend on food? 

• $16.20

• $10.60

• $12.90

Multiple Choice

A serving of cereal is $$\frac{3}{4}$$ cup. A box of cereal contains 12 cups of cereal. How many servings of cereal are in the box? 

• 6 servings

• 9 servings

• 16 servings

Multiple Choice

There are 8 batteries in a package of AA batteries and 12 batteries in a package of AAA batteries. If you buy 10 packages of AA batteries and 6 packages of AAA batteries, how many batteries would you have? 

• 156 batteries

• 36 batteries

• 152 batteries

Match

Match the following expression to their simplified form.

• $$\frac{7}{8}\div\frac{3}{4}\cdot\frac{2}{3}$$

• $$\frac{7}{8}\cdot\frac{3}{4}\div\frac{2}{3}$$

• $$\frac{7}{8}+\frac{3}{4}-\frac{2}{3}$$

• $$\frac{7}{9}$$

• $$\frac{63}{64}$$

• $$\frac{23}{24}$$

Multiple Choice

Simplify the expression.

$$\frac{8^2-3\cdot5}{3-\left(-4\right)}$$

• 7

• -49

• $$\frac{2}{7}$$

Multiple Choice

Simplify the expression.

$$1260\div7-5^2+4^3\cdot3$$

• 191

• 347

• 546

Math Response

What is the LCM of 126 and 168? 

Type answer here

Correct Answer: 504

Deg^°

Rad

Multiple Choice

Which expression calculates the LCM of 70 and 105?

• $$5\cdot7\cdot2\cdot3$$

• $$5\cdot7$$

• $$2\cdot5\cdot7\cdot3\cdot5\cdot7$$

Math Response

What is the GCF of 126 and 168? 

Type answer here

Correct Answer: 42

Deg^°

Rad

Multiple Choice

What is the GCF of 72 and 54? 

• 18

• 27

• 9

Dropdown

Fill in the blank with >, <, or = to create a true statement comparing the values. 



$$\frac{12}{3}$$ ​

Select answer

$$\left|-2.3\right|$$

Reorder

Order the numbers from least to greatest. 

$$-\frac{7}{3},\ \left|-10\right|,\ -\sqrt[]{5.76}$$

• $$-\sqrt[]{5.76}$$

• $$-\frac{7}{3}$$

• $$\left|-10\right|$$

1

2

3

• 1
• 2
• 3

Reorder

Order the numbers from least to greatest. 

$$-\sqrt[]{12.25},\ -\frac{18}{5},\ \left|-3.6\right|$$

• $$-\frac{18}{5}$$

• $$-\sqrt[]{12.25}$$

• $$\left|-3.6\right|$$

1

2

3

• 1
• 2
• 3

Multiple Choice

Which statement about |−202| is true? 

• It is natural, whole, and irrational. 

• It is natural, whole, an integer, and rational. 

• It is irrational. 

• It is an integer, rational, and irrational. 

Multiple Choice

Which statement about $$\frac{135}{400}$$ is true? 

• It is an irrational number. 

• It is a whole number. 

• It is an integer. 

• It is a rational number. 

Hotspot

Which expression has a greater value? 

Open Ended

Leo submitted the following work when asked to solve an order of operations problem. Identify Leo’s mistake.