Grade 7 Strand Review

The difference between a number and 2 is 5. What equation shows this relationship?

(a)  

Answer explanation

The word "difference" means subtraction

"A number" is your variable. (Let x = a number)

The word "is" implies "equal to" ( = 5)

Tags

CCSS.HSA.CED.A.3

The cost (c) to host a party for a certain number of guests (g) is given by the following equation

c = 2g+10

If the total cost is $100, find the number of guests at the party.

• 40

• 45

• 88

Answer explanation

The question tells us the cost is represented by 'c' and number of guests by 'g'

So when they ask us to find the number of guests if the cost is 100, we plug 100 into the equation by putting it instead of 'c' and solve for 'g' which represents the number of guests

Tags

CCSS.7.EE.B.4A

Circle the constant

Underline the numerical coefficient

Draw a box around the variable(s)

m + 3 + 2m = -9 + x

Answer explanation

Constant: A number that does not change. Increases or decreases the value of the expression no matter what the value of the variable. In 2x + 4, the number 4 is the constant.

Numerical Coefficient: A number that multiplies the variable. In 2x + 4, the number 2 is the numerical coefficient.

Variable: A letter that represents an unknown number. In 2x + 4, the letter x is the variable.

Graph the following points

(1,-1)

(2,0)

Answer explanation

The first number is placed on the x-axis, and the second number is placed on the y-axis.

For example: (1,-1)

To graph this point, you will find '1' along the x-axis (move horizontally until reached at position 1) and move vertically until reached at '-1'.

Tags

CCSS.5.G.A.2

Some ordered pairs for a linear function of x are given in this table.

Which of the following equations was used to generate this table?

• y = x+1

• y = x+3

• y = 3x-1

Answer explanation

Find the pattern between x and y values

There are two ways to get -7 when x is -2

1. -2 -5 = -7 and (-2)(3) -1 = -7

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

How many burgers will be in the 10th figure?

(a)  

Answer explanation

We can create a table of values where 'x' is the figure number and 'y' is the number of burgers.

Find the equation and then plug 10 into the equation instead of x which will tell you the number of burgers in figure 10.

Tags

CCSS.3.OA.D.9

A toy car is made to travel different distances, and the time taken to travel each distance is recorded. The results are shown in the following table. Which graph best represents the data recorded in the table of values? 

• 
• 

Answer explanation

1. 1. Create points using the table of values

2. 2. Trace those points along both graphs

Tags

CCSS.8.EE.B.5

In the equation 109 = 2x + 1, what is the value of x?

(a)  

Answer explanation

To solve for x, we need to have it alone on one side of the equal sign. Start by moving '1' away from '2x'. To remove '1' from the right side of the equal sign, do the opposite operation of what's already happening. 1 is being added to 2x, to move it you need to subtract 1 from both sides (1-1 =0) and (109-1) = 108

Now to remove the '2' that is in front of 'x' you need to do the opposite operation of what's already happening. 2 and x are being multiplied so to get rid of the 2, you need to divide by 2 on both sides (2x/2 = 1x) and (108/2) = 54

Tags

CCSS.7.EE.B.4A

What is the solution to the modelled equation?

(a)  

Answer explanation

Tags

CCSS.8.EE.C.7B