IAR Review Lesson #1 (Unit1 & Unit 2)

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​IAR REVIEW
LESSON #1

(Unit 1 & Unit 2)

Multiple Choice

Simplify the expression.

Multiple Choice

Solve the equation.

• 2

• -2

• 4

• -4

Fill in the Blanks

Eric planted a seedling in his garden and recorded its height each week.  The equation can be used to estimate the height, ℎh , in inches, of the seedling by the end of each week, w , after it was planted.

What is the height, in inches, of the seedling after 9 weeks?

Fill in the Blanks

Eric planted a seedling in his garden and recorded its height each week.  The equation can be used to estimate the height, ℎh , in inches, of the seedling by the end of each week, w , after it was planted.

The seedling will be $13\ \frac{1}{2}$ inches tall after how many weeks?

Multiple Choice

Find the value of x that makes the equation true.

• $$-\frac{11}{3}$$

• $$-\frac{5}{4}$$

• $$\frac{13}{9}$$

• $$\frac{9}{17}$$

Fill in the Blanks

The equation y=5x+75 represents the cost of a speeding ticket, including the court cost, for speeding in an area that has a speed limit of 2020 miles per hour.  In this equation, x represents the number of miles the driver went over the speed limit and y represents the total cost of the ticket.

If a driver received a speeding ticket for driving at 25 miles per hour, then what is the cost, in dollars, of the ticket?

Fill in the Blanks

The equation y=5x+75 represents the cost of a speeding ticket, including the court cost, for speeding in an area that has a speed limit of 2020 miles per hour.  In this equation, x represents the number of miles the driver went over the speed limit and y represents the total cost of the ticket.

If a driver received a speeding ticket that cost $135 , then at what speed, in miles per hour, was the driver driving?

Multiple Choice

The perimeter of triangle ABC is 29 units.  

The length of side AB is three times the length of side BC .  

The length of side AC is 66 units less than the length of side AB .  

Let x represent the length, in units, of side BC .  Which equation can be used to find the value of x ?

Fill in the Blanks

Solve for x.

Multiple Choice

What is the value of a that makes the equation true?

• $$\frac{5}{3}$$

• $$-\frac{2}{13}$$

• $$-\frac{2}{29}$$

• $$\frac{32}{7}$$

Multiple Select

Which of the expressions have a value of 3?

Select each correct answer.

Multiple Choice

Which statement best describes the value of  $$\sqrt[]{8}$$ ?

Multiple Choice

Which number line best approximates the location of $$\sqrt[]{28}$$ .

Fill in the Blanks

Solve forthe variable to make the equation true.

Categorize

Options (7)

$$\sqrt[]{16}$$  

$$\sqrt[]{64}$$  

$$\sqrt[3]{64}$$  

$$\sqrt[]{8}$$  

$$\sqrt[3]{24}$$  

$$\sqrt[3]{12}$$  

$$\sqrt[3]{512}$$  

Organize these options into the right categories

Value = 4

Value = 8

Value = Neither 4 nor 8

Multiple Select

Select all solutions to the equation $$x^2=45$$

Multiple Select

Select all solutions to the equation $$x^3=45$$

Multiple Choice

Determine if the value is rational or irrational.

• Rational

• Irrational

Multiple Choice

Determine if the value is rational or irrational.

• Rational

• Irrational

Multiple Choice

Determine if the value is rational or irrational.

• Rational

• Irrational

Multiple Choice

Determine if the value is rational or irrational.

• Rational

• Irrational

Multiple Choice

Determine if the value is rational or irrational.

• Rational

• Irrational

Multiple Choice

Determine if the value is rational or irrational.

• Rational

• Irrational

Multiple Choice

Which value is equivalent to $$\frac{3}{11}$$

Multiple Select

Select all solutions to the equation $$x^2=30$$

Multiple Select

Select all solutions to the equation $$x^3=30$$

Fill in the Blanks

How many cups are in a gallon?

Fill in the Blanks

Solve for the variable.

Multiple Choice

Which of the following square roots would not be between 7 and 8?