Quarter 2 Benchmark Review 7th Grade

Quarter 2 Benchmark Review 7th Grade

Part One: Non-Calculator

You will NOT be able to use a calculator for the following types of problems

Adding and subtracting positive and negative numbers

• A negative plus a negative is a negative: Add like normal and make your answer negative

• Ex. -4 + (-5) =

• Ex. -10 + (-28) =

Multiple Choice

-14 + (-23) =

• -9

• 9

• 37

• -37

• -27

Multiple Choice

-10 + (-8)

• -18

• -12

• -2

• 2

Adding and subtracting positive and negative numbers

• A negative plus a positive: Do the bigger number minus the smaller number, and keep the sign of the bigger number

• Ex. 4 + (-5) =

• Ex. -10 + 28 =

Multiple Choice

14 + (-12)

• -2

• -26

• 2

• -13

• 26

Multiple Choice

The temperature was -18 and it rose 23 degrees. What is the temperature now?

• -5 degrees

• -41 degrees

• 8 degrees

• 5 degrees

Adding and subtracting positive and negative numbers

• Change subtraction problems to adding the opposite

• Ex. -4 - 5=

• Ex. 10 - 28 =

Multiple Choice

-6 - 12 =

• -6

• -18

• 6

• 18

Multiple Choice

Your score on a video game was 15 points and you lost 20 points. How many points do you have now?

• -5 points

• 5 points

• 20 points

• -10 points

Fractions, decimals, and percents

• To go from a fraction to a decimal or percent: Multiply to make the denominator 100, use the new numerator as your percent or decimal

• Ex. 1: 3/4 to a percent and a decimal

• Ex. 2: 47/50 to a percent and a decimal

Multiple Choice

Convert 1/20 to a percent

• 50%

• 5%

• 120%

• 1%

• 4%

Multiple Choice

A basketball player made 7 out of 10 baskets. What percent of the baskets did he make?

• 7%

• 14%

• 710%

• 70%

Fractions, decimals, and percents

• To go from a percent or a decimal to a fraction: put the number over 100 and simplify

• Ex. 1: 14% as a fraction

• Ex. 2: 0.50 as a fraction

Multiple Choice

What is 0.22 as a simplified fraction?

• 22/10

• 11/50

• 2/10

• 1/5

Multiple Choice

I received a 90% on a quiz. What fraction of the questions did I get correct?

• 9/10

• 90/1

• 99/100

• 3/5

Laws of Exponents

• The product rule says to multiply exponents with the same base, we add the exponents

• Ex. 10⁸x 10³

• Ex. y⁵ x y⁴

Multiple Choice

Simplify the following: 77⁴ x 77⁹

• 7,983

• 77³⁶

• 77⁵

• 77¹³

Multiple Choice

Simplify the following: y⁴ x y³ x y⁵

• y⁶⁰

• y¹⁴

• y¹²

• y⁴³⁵

Laws of Exponents

• The quotient rule says to divide exponents with the same base, we subtract the exponents

• Ex. $\frac{10^8}{10^5}$  

• Ex.  $\frac{y^5}{y^4}$  

Multiple Choice

Simplify the following:

 $\frac{10^{10}}{10^8}$  

•  $10^4$  = 10,000

•  $10^2$  = 100

•  $10^3$  = 1,000

•  $10^{18}$  = 1,000,000,000,000,000,000

Laws of Exponents:

• The power rule says when you raise a power to a power, you multiply the powers

• Ex. (4³)⁵

• Ex. (y³)⁴

Multiple Choice

Simplify using the power rule: (100⁸)⁹

• 100⁷²

• 100¹⁷

• 100^-1

Part Two: With Calculator

Go to desmos.com/practice

Solving equations

• To solve equations, you complete inverse (opposite) operations to get the variable (letter) by itself. Complete the addition or subtraction first.

• Ex. 4x + 10 = 50

• Ex. 1/2 x - 4 = 6

Multiple Choice

Solve the following for x: 9x + 6 = 42

• x = 10

• x = 6

• x= 4

• x = 9

Multiple Choice

Solve the following for x: $\frac{1}{5}x\ +\ 3\ =\ 10$  

• x = 65

• x = 7/5

• x = 14

• x = 35

Solving and Graphing Inequalities

• Solution sets are sets of numbers that can make an inequality true.

• Which of the following belongs to the solution set for 2x > 8? Select all that apply: 4, 6, 2, 3, 8, -1, 14

• Which of the following belongs to the solution set for $2x\ +\ 5\ \le\ 15$  ? Select all that apply: 4, 10, 2, -10, 7, 5, 3

  
  

Multiple Select

Which of the following would belong to the solution set for the following? Select all that apply: 4x + 3 > 11

• 3

• 5

• -2

• 8

• 1

Multiple Select

Which of the following would belong to the solution set for the following? Select all that apply: 5x + 4 < 14

• 1

• 5

• -2

• 8

• 2

Tax, tip, and discount

• To find the percent of a number, change the percent to a decimal and multiply

• With tax and tip you ADD the percent to the original amount

• With discount you SUBTRACT the percent from the original amount

Multiple Choice

A pair of jeans is $45.00. If there is a 6% sales tax at the store, how much would we pay with tax?

• $47.70

• $72.00

• $42.30

• $48.50

Multiple Choice

A $15.00 sweater is on sale for 30% off. If there is a 10% sales tax, how much would you pay after tax and discounts?

• $14.00

• $16.00

• $12.00

• $13.50

Multiple Choice

There is a coupon for 20% off a plain white t-shirt that costs $12.00. There is another coupon for $3.00 off any item that can be used for the $12.00 t-shirt. Which coupon would give us the best deal?

• 20% off coupon

• $3.00 off coupon

• They would come out to the same price