Benchmark Test 1 Review

Common Mistakes on Lessons Covered for 1st Quarter

COMPARING INTEGERS

Multiple Choice

Which number between -35 and -41 is smaller?

• -35

• -41

Multiple Choice

Which number between -49 and -50 is bigger?

• -49

• -50

Comparing Decimals

​0

​>

​0

​<

Multiple Choice

Which number is bigger?

0.134

0.14

• 0.134

• 0.14

Multiple Choice

Which number is smaller?

-3.555

-3.56

• -3.555

• -3.56

Comparing Numbers in Scientific Notation

​Which numbers are bigger than this number?

Multiple Choice

Among the numbers below, which is the smallest?

$$3.45\times10^3$$ , $$9.68\times10^6$$ , $$3.41\times10^3$$ , $$1.04\times10^7$$

• $$3.45\times10^3$$

• $$9.68\times10^6$$

• $$3.41\times10^3$$

• $$1.04\times10^7$$

Multiple Choice

Among the numbers below, which is the biggest?

$$2.41\times10^9$$ , $$9.68\times10^4$$ , $$3.41\times10^{11}$$ , $$9.99\times10^7$$

• $$2.41\times10^9$$

• $$9.68\times10^4$$

• $$3.41\times10^{11}$$

• $$9.99\times10^7$$

Multiple Choice

Which of the following is IRRATIONAL?

• $$3.14$$

• $$-1.343434...$$

• $$\frac{5}{8}$$

• $$4.156892...$$

Multiple Choice

Which of the following is RATIONAL?

• $$\pi$$

• $$\sqrt[]{5}$$

• $$\frac{5}{8}$$

• $$\frac{\pi}{3}$$

Multiple Select

Select all integers.

More than one answer may be selected. (you may use a calculator to help simplify!)

• $$\left|-10\right|$$  

• $$\sqrt[]{36}$$  

• $$3^5$$  

• - $$\frac{1}{2}$$  

Multiple Choice

Identify the problem if it is a one-step or two-step problem:

A pair of jeans at a local retail store has a cost of $35.00.  If the sales tax is 5%, what is the tax paid for the jeans?

• One-Step

• Two-Step

Multiple Choice

Identify the problem if it is a one-step or two-step problem:

George buys a bowl of soup and bread for $8.00 and leaves a 6% tip. What is the total cost of the meal?

• One-Step

• Two-Step

Multiple Choice

Identify the problem if it is a one-step or two-step problem:

Tessa takes her friends out to lunch and the total cost of the meal is $120.30.  The restaurant then added the 20% tip to the cost of the meal.  How much money was added for the tip?

• One-Step

• Two-Step

Multiple Choice

Identify the problem if it is a one-step or two-step problem:

The price of a $500 television is marked up 250%. What is the price of the television after the mark-up?

• One-Step

• Two-Step

Multiple Choice

Identify the problem if it is a one-step or two-step problem:

John needs a computer for his summer class.  The computer costs $385 dollars but since he is still in school, he gets a 30% discount.  What is the amount of money he will save on the purchase of this computer?

• One-Step

• Two-Step

Multiple Choice

Identify the problem if it is a one-step or two-step problem:

If the regular price of a jacket is $62.00 and the discount rate is 15%, what is the sale price?

• One-Step

• Two-Step

Multiple Choice

McDonald's charges a huge mark-up on sodas. If the cost to them is $0.17, and they mark-up the price 480%, how much is the mark-up?

• $0.82

• $0.99

• $0.65

Multiple Choice

At a French restaurant, you order a salad for $2.50 and two lasagna for $8.25 each.  If the sales tax is 8%, what is the total of your bill including sales tax?

• $1.52

• $20.52

• $19.86

Multiple Choice

Luigi and his football friends went out to eat at Applebee’s.  Luigi’s meal cost $9.99. After leaving a 15% gratuity and paying 6.2% tax, how much did Luigi spend on his meal?

• $2.12

• $12.11

• $10.61

• $11.49

Multiple Choice

A retail store sells a computer printer at a 40% markup.  The original price of the computer printer was $129.00.  What is the sale price of the printer?

• $77.40

• $51.60

• $52.20

​PERCENT OF CHANGE
It is only used when the problem is asking for the percent. (Clue: choices are like 10%, 15%, 2.5%)
It uses two values: old and new value.

Multiple Choice

Identify the OLD VALUE in this problem.

A dress is marked up from 75 dollars to 125 dollars.

• $75

• $125

Multiple Choice

Identify the NEW VALUE in this problem.

The purchase price of an iPad is $650. James bought an iPad and paid a total price of $702.

• $650

• $702

Multiple Choice

Identify the OLD VALUE in this problem.

A shirt was originally priced at $48. It went on sale for $38.40.

• $48

• $38.40

Multiple Choice

Identify which formula was set up correctly.

The shoe store sells a pair of shoes from $20 to $32.

• $$\frac{20-32}{32}\cdot100$$

• $$\frac{32-20}{20}\cdot100$$

Multiple Choice

Identify which formula was set up correctly.

A computer store is selling a computer game that costs $35 for $49. What is the markup percent?

• $$\frac{35-49}{49}\cdot100$$

• $$\frac{49-35}{35}\cdot100$$

Multiple Choice

Sports Life magazine has seen a decrease in sales since 2005. The number of sales in 2005 reached $120,000. In 2009, the sales fell to $103,800. What is the percent decrease in sales?

• 13.5%

• 15.6%

SIMPLIFYING EXPRESSIONS
Simplifying means making it shorter with only two terms in the expression - Like 2x+10, or -x-5.

Combining Like Terms

Distributive Property

Combination

Multiple Choice

Which expression is represented using the tiles on the picture?

Note: Use (Parentheses) when subtracting multiple terms.

• 2x - 2x + 4

• 2x - (2x + 4)

Multiple Choice

Which expression is represented using the tiles on the picture?

Note: Use (Parentheses) when subtracting multiple terms.

• x - (3x + 5)

• x - 3x + 5

Multiple Choice

Simplify the expression by combining like-terms:

$$-3y+1+9y-4$$  

• $$3y$$  

• $$6y-3$$  

• $$12y+3$$  

Multiple Choice

Simplify by combining like terms:

$$4t-t+3$$  

• $$4t-4$$  

• $$5t+3$$  

• $$3t+3$$  

• $$5t-3$$  

Multiple Choice

Simplify the expression:
5(p - 6)

• 5p - 30
• 5p - 5
• p - 30
• 5p + 11

Multiple Choice

Simplify the expression: -2(6x - 4)

• -12x + 4

• -12x + 8

• 12x - 8

• -12x - 8

Multiple Choice

4(x + 2) + 6x

• 4x + 2 + 6x
• 4x + 8 + 6x
• 10x + 8
• 10x + 2

Multiple Choice

8x - 2(x + 3)

• 6x - 6 
• 6x - 5
• 6x + 6 
• 6x + 3