Math 7H Interim 1 Review

Math 7H Interim 1 Review

by Kiana Bradford

​Balancing A Checkbook

​-Remember you start with your starting balance.

​-For withdrawals, you subtract those transactions from your balance.

​-For deposits, you add those transactions to your balance.

Multiple Choice

What is the starting balance on this check register?

• 4720.33
• 4500.00
• 4500.75
• 4320.00

Multiple Choice

• $220.73

• $108.38

• $118.83

• $225.15

Multiple Choice

• $443.39

• $301.22

• $344.93

• $141.75

​Tax, Tip, Markups & Discount

• ​Tax, Tip, & Markups are all ADDED to the original price.

  • ​find your percent of the price and add it to the price.

• ​Discounts are SUBTRACTED from the original price.

  • ​find your percent of the price and subtract it from the price.

Multiple Choice

What is the total cost with sales tax?
Price $17.95
Tax 6%

• $19.03
• $18.50
• $1.08
• $2.15

Multiple Choice

Dinner at the Olive Garden cost $52.37. You leave a 20% tip. What is the total cost?

• $72.37

• $10.47

• $62.84

• $41.90

Multiple Choice

You want to buy a shirt.  The original price was $27, and the sale says 25% off.  How much will pay for the shirt?

• 0.25
• 33.75
• 6.75
• 20.25

​Percent Increase/Decrease

• ​Remember you just subtract the old from the new and divide by the old and multiply the answer by 100. If you get a negative number, simply ignore it because negative numbers mean it was a decrease, where a positive number is an increase.

Fill in the Blanks

Find the percent of change from 10 inches to 14 inches.

Multiple Choice

Sally went to the clearance rack at a department store and found a shirt she wanted to buy.  The shirt was $36.00 and is on sale for $24.00.  What is the percent of the decrease?

• 33%
• 67%
• 50%
• 34%

Multiple Choice

Ms. Scott receives a basket of apples at her door every Friday morning.  Last Friday, there were 5 apples in the basket.  This Friday, there were 8 apples in the basket.  What is the percent of increase in the number of apples in the basket?

• 38%
• 63%
• 60%
• 167%

​Proportions

• ​Remember when working with proportions, order matters! Set up your fraction with what you are comparing then write the problem you are solving for in the same fraction order as you wrote. Then cross multiply and solve the equation. See example.

Multiple Choice

Emily's original painting has a width of 3 inches and a height of 4 inches. She enlarged the size of the painting so that it has a width of 15 inches. What is the new height?

Which of these proportions correctly represents the situation?

• $$\frac{3\ in\ width}{4\ in\ height}=\frac{15\ in\ width}{x\ in\ height}$$

• $$\frac{3\ in\ width}{15\ in\ height}=\frac{4\ in\ width}{x\ in\ height}$$

• $$\frac{3\ in\ width}{5\ in\ height}=\frac{4\ in\ width}{15\ in\ height}$$

• $$\frac{3\ in\ width}{4\ in\ height}=\frac{x\ in\ height}{15\ in\ width}$$

Multiple Choice

Emily's original painting has a width of 3 inches and a height of 4 inches. She enlarged the size of the painting so that it has a width of 15 inches. What is the new height?

Now solve the proportion.

• Height is  $$20$$  inches

• Height is $$15$$ inches

• Height is  $$16$$  inches.

• Height is  $$25$$  inches.

Multiple Choice

20 Fuji apples cost $12. How many Fuji apples can you buy for $3?

Select the proportion that represents the situation correctly.

• $$\frac{20\ apples}{12\ dollars}=\frac{x\ apples}{3\ dollars}$$

• $$\frac{20\ apples}{3\ dollars}=\frac{x\ apples}{12\ dollars}$$

• $$\frac{12\ dollars}{20\ apples}=\frac{x\ apples}{3\ dollars}$$

• $$\frac{3\ dollars}{12\ dollars}=\frac{20\ apples}{x\ apples}$$

Multiple Choice

20 Fuji apples cost $12. How many Fuji apples can you buy for $3?

Solve the proportion.

• 8 apples

• 7 apples

• 5 apples

• 1 apples

​Multistep Equations

• ​Distribute (if needed)

• ​Combine Like Terms on Each Side

• ​Move the variable to the left side

• ​Add/Subtract (do the inverse of what is in the problem)

• ​Multiply/Divide (do the inverse of what is in the problem)

• Don't Call Me After Midnight!

Multiple Choice

$$-118=-5\left(4+7x\right)+7$$  

• $$-5$$  

• $$-9$$  

• $$3$$  

• $$-1$$  

Multiple Choice

$$96=6\left(k+8\right)$$  

• $$12$$  

• $$8$$  

• $$-4$$  

• $$9$$  

​Multistep Inequalities

• ​Distribute (if needed)

• ​Combine Like Terms on Each Side

• ​Move the variable to the left side

• ​Add/Subtract (do the inverse of what is in the problem)

• ​Multiply/Divide (do the inverse of what is in the problem)

• Don't Call Me After Midnight!

• ​Remember, Inequalities can have INFINITE solutions, check all the solutions that make the statement TRUE!

Multiple Choice

-2 (x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

Multiple Choice

6(n + 2) < -72

• n < -14
• n < 35/3
• n < -10
• ∞

Multiple Choice

3x − (2 + 6x) ≤ -32

• x ≥ 10

• x< -10

• x ≥ -10

• All real numbers

​Graphing Inequalities

• ​Remember if it is less than or greater than it is an OPEN circle because it does NOT include that solution.

• ​If it is less than or equal to or greater than or equal to, it is a CLOSED circle because it DOES include that solution.

Multiple Choice

What inequality does the number line graph represent

• x ≤ 4
• x ≥ -4
• x < -4
• x < 4

Multiple Choice

What inequality does the number line graph represent?

• x ≥ 3
• x > 3
• x < -3
• x ≤ -3

Multiple Choice

When graphing b< 6 would you use an open or closed circle?

• Open
• closed

​Pythagorean Theorem

• ​a² + b² = c²

• ​The longest side is the hypoteneuse (c).

• ​The short sides are the legs (a & b)

• ​ONLY works on RIGHT triangles

Multiple Choice

solve for c

• 7
• 9
• 4
• 13

Multiple Choice

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

Multiple Choice

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles
• 32 miles
• 37 miles
• 40 miles

​Evaluating Expressions

• ​Substitue the given value for the variable into the equation/expression and solve!

• ​You can also use desmos to do this as well.

Multiple Choice

5m + 9n if m = -7 and n = 4

• 71

• 1

• -1

• -71

Multiple Choice

x² - xy if x = 8 and y = -3

• 88

• 40

• -8

• -24