7th grade summer review

7th grade summer review

Remember, rules for adding and subtracting are different than multiplying and dividing!!!

Fill in the Blanks

 $-6\left(-8\right)$  

Fill in the Blanks

 $Simplify:\ \frac{-45}{9}$  

Multiple Choice

 $-6\ -\ 10\ =\ ?$  

• -4

• 4

• 16

• -16

Multiple Choice

 $12+(-3)$  

• 9

• -9

• 15

• -15

Multiple Choice

 $-5+7=?$  

• 12

• 2

• -2

• -12

Multiple Choice

• A

• B

• C

• D

Two step equations

• Draw the line down the equals sign

• Identify the variable- the goal is to get it by itself

• Add or subtract first (remember to do the OPPOSITE of what you see)

• Multiply or divide last

• ALWAYS CHECK YOUR WORK!!!!

• (Don't forget integer rules)

Multiple Choice

2s - 4 = 6

• 5
• 3
• -5
• 2

Multiple Choice

7 + ^a⁄₃ = 5

• a= -2

• a= -6

• a= 3

• a= 15

Multiple Choice

4x + 7 = 23

• x = 16

• x = 4

• x = 9

• x = 12

Write and solve equations

• Three parts= multiplicative, additive, and total

• Multiplicative- Look for each, every, or per words

• Additive will be a "flat fee"

• Total- may or may not use the word "total" but should be on a side by itself

Multiple Choice

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

• 331=7x+6

• 331=13x

• 331=6x+7

• 331-7=6x

Multiple Choice

Eric would like to buy a new pair of skates for $115. So far he has saved $40. If he earns $7.50 per hour, how could I find out how many hours he must work in order to buy the skates?

• 40 + 7.50x = 115

• 40x + 7.50 = 115

• 40 + 7.50 = 115

• 40 + 17.50x = 115

Linear Equations

• Use the word problem to write an equation (using slope intercept form).

• Then use equation to create a table.

• Lastly use the table to plot points on the coordinate graph.

• (Or vise versa)

Multiple Choice

Write the equation of the line.

• y= -1x-3
• y= -3x-1
• y=-1/3x-1
• y= -3x-3

Multiple Choice

Which equation best represents the relationship between x and y in the graph? (7.7A)

• y = 2x + 4

• y = 2x - 2

• y = 1/2x + 4

• y = 1/2x - 4

Multiple Choice

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table? (7.7A)

Ratios and Proportions

• Set up triple threat (3 equal fractions)

• 1- labels- words

• 2- ratio- Order matters!!!

• 3- last number from word problem

• Then check, side to side, top to bottom, or cross multiply and divide

Multiple Select

Ronald uses 2 cups of sugar to make 12 brownies. Last week, Ronald made 84 brownies. How many cups of sugar did he use last week?

• 3.5

• 6

• 7

• 14

Multiple Select

The ratio of 7^th graders to 8^th graders in student council is 2:3. If there are 51 8^th grade students in student council, what is the total number of students in student council?

• 17

• 85

• 34

• 105

Multiple Choice

Find the missing side measurement.

• 6.6

• 5.2

• 8

• 4