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

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