Topic 5-10 (Equations with Tables and Graphs)

Topic 5-10 (Equations with Tables and Graphs)

School Year 2020-2021

Let's start with some review...

Multiple Select

Select all of the equations for which x = 9 is a solution.

• x² = 18

• 7x = 42

• $\frac{20\ -\ x}{11}\ =\ 1$

• 45 - 2x = 27

• 3(1 + x) = 30

Multiple Select

Which of these statements are true? Select all that apply.

• Zero is its own opposite.

• The opposite of -(-4) is 4.

• The opposite of -6 and the opposite of -4 are on the same side of zero on a number line.

• The opposite of 3 and the opposite of -5 are on the same side of zero on a number line.

• The opposite of -5 is greater than the opposite of -3.

Multiple Select

Evan (the Cheese) wrote an expression showing 7 times the difference of x and 2. Select all expressions that are equivalent to the value of Evan's expression.

• 7y – 2

• 7y – 9

• 7y – 14

• 7y + 14

• 7(y – 2)

Multiple Choice

Which of the following values for x is true for 8x < 35?

• x = 4

• x = 4.5

• x = 5

• x = 5 and 1/2

Multiple Choice

Which inequality matches the number line below?

• x < 2

• x > 2

• x ≥ 2

• x ≤ 2

Multiple Choice

Stacy has 3 collector’s cards. She receives 2 more cards each week

that she volunteers at the student center. Let x = the number of weeks. Let y = the number of collector’s cards. Which equation represents the amount of cards Stacy has?

• y = 3x

• y = 2x + 3

• y = 3x + 2

• y = $\frac{x}{2}$ + 2

Multiple Choice

Lautaro wrote the equations y = 3x and y = x + 3.

Which equation represents the graph shown?

• y = 3x

• y = x + 3

• Not enough information

• Both are correct.

Fill in the Blanks

Becca’s dog-walking business started with 1 dog.

By the end of the first month, she was walking

2 additional dogs per month. The graph represents

the situation. How many dogs was Becca walking

by the end of the third month?

Multiple Choice

Which of the following equations represents the line shown on the graph?

• y = 2x

• $y\ =\ \frac{x}{2}$

• y = x + 2

• y = x - 2

Multiple Select

The dependent variable, w, represents the amount of water Isaac drinks on a certain day. Select all the variables that can represent an independent variable in this situation.

• the temperature outside

• how much salty food he ate that day

• the number of siblings he has

• how much exercise he did that day

• the size of his feet

Multiple Choice

The graph shows the number of teaspoons of water, y, that have dripped from a leaky faucet after x minutes. Which equation represents the relationship between x and y?

• y = 3x

• y = x - 3

• $y\ =\ \frac{1}{3}x$

• y = x + 3