Tucker/Peterson, Module 2

Multiple Choice

What is the main objective of MA.7.NSO.2.1?

• To solve problems using multi-step order of operations with rational numbers

• To memorize multiplication tables

• To learn about irrational numbers

• To solve only single-step equations

Multiple Select

Which TWO of the following are examples of rational numbers?

• √2

• π

• 3/4

• √3

• 5

Math Response

What is the value of $$|-1+\frac{1}{2}|-2^2$$ ?

Type answer here

Correct Answer: -\frac{7}{2}

Deg^°

Rad

Multiple Select

Which TWO of the following steps are necessary when evaluating ab + c - d if a, b, c, and d are rational numbers?

• Multiply a and b first

• Add c before multiplying a and b

• Subtract d at the end

• Ignore the order of operations

• Subtract d first

Math Response

Fill in the blank: The absolute value of $$-\frac{2}{3}$$ is ___.

Type answer here

Correct Answer: \frac{2}{3}

Deg^°

Rad

Multiple Choice

Which of the following is the correct value for the expression $$|x|+y(0.4+z)\ if\ x=-2.6,\ y=-\frac{1}{2},\ and\ z=-\frac{5}{8}$$ ?

• 2.7125

• -2.7125

• 1.5

• 0.625

• -0.5

Multiple Select

Select correct steps involved in evaluating the expression

$$\left(\frac{a^4\cdot b^2\cdot a^3}{a^5\cdot b}\right)+c^2$$

when $$a=2,\ b=\frac{5}{6},\ and\ c=\frac{1}{2}$$

• First, substitute the values in for the variables

• First, add $$c^2$$ to the expression

• Second, raise the values to their given exponents

• Second, multiply the bases before computing the exponents

Multiple Choice

What is the value of the expression (a^4 * b^2 * a^3) / (a^5 * b) + c^2 if a = 2, b = 5/6, and c = 1/2?

• 43/12 or 3 7/12

• 5/6

• 2 1/2

• 7/12

Open Ended

What is a common mistake students might make when applying rational number operations to expressions involving exponents and fractions?

Multiple Select

Which of the following are correct steps when evaluating (c/a)^2 + b + (d^1)^3 for a = 1.5, b = 7/8, c = 6, and d = 1/2?

• Apply the power of a quotient property

• Evaluate the exponents

• Multiply all terms directly

• Add the fractions

Fill in the Blanks

Fill in the blank: The value of the expression (b/a)^2 - c + (d^0)^2 for a = 4/3, b = 2/3, c = 0.4, and d = -0.7 is

Drag and Drop

A ​

Placeholder

number is any number that can be written as a ​

Placeholder

of two integers.

Drag these tiles and drop them in the correct blank above

ratio

rational

whole

power

negative

Multiple Choice

What is the overall change in Julia's points after she pays a tax of 2.5 points and earns 7.5 points in a computer game quest?

• 5 points

• 10 points

• -5 points

• 2.5 points

Fill in the Blanks

The number of hours it takes for the pool to lose -0.3 gallon at a rate of -0.05 gallon per hour is

hours.

Multiple Select

Which of the following equations correctly represent the change in water volume in Pete's pool after a leak of -0.05 gallon per hour for a total change of -0.3 gallon?

• -0.3 = -0.05 + (-0.05) + (-0.05) + (-0.05) + (-0.05) + (-0.05)

• -0.3 = 6 × (-0.05)

• -0.3 = -0.05 ÷ 6

• -0.3 = -0.05 × 6

Multiple Choice

If Emma dives twice as deep as Alicia, who dives to -9/4 yards, what is Emma's position relative to the surface of the water?

• -18/4 yards

• -9/2 yards

• -9/4 yards

• -4.5 yards

Open Ended

Explain how you can use multiplication to find the positions of Emma and Nick relative to the water surface if Alicia dives to -9/4 yards.

Multiple Choice

What is the total number of miles the construction team built over the three days?

• 6.35 miles

• 5.8 miles

• 7.1 miles

• 4.95 miles

Multiple Choice

Which of the following expressions correctly represents the amount of money Amar has left to spend on video games after his purchases?

• 550.40 - (1/5 × 550.40) - 35.12

• 550.40 + (1/5 × 550.40) - 35.12

• 550.40 - (1/5 × 550.40) + 35.12

• 550.40 - (1/5 × 35.12) - 550.40

Open Ended

Explain the steps you would take to determine how many computer games Amar can purchase after his expenses. What mathematical operations are involved?

Fill in the Blanks

Rosie has driven 4/5 of her trip. The total distance of her trip is

miles.

Multiple Choice

Which of the following is NOT typically included when solving multi-step problems with rational numbers?

• Grouping symbols

• Whole-number exponents

• Absolute value

• Geometric transformations

Open Ended

How can understanding the order of operations help you solve problems involving rational numbers?