**Print out your 7th grade math test before you begin. Then try to answer all of the questions.**

Name Date: ___________________

**Solve the following problems**

**1.**

a. 3^{6th} × 3^{-14} =

**A.** 3^{20th}**BB** 3^{14th}**C. ** 3^{-8th}**DD ** 3^{8th}

**2.**

| 8 – 3 | – | 5 – 12 | =

**A.** -2 **BB** 2 **C. ** 0 **DD ** 5

**3rd**

a. Is 200,000,000,000 in scientific notation

**A.** 2 × 10^{-11}**BB** 2 × 3^{11}**C. ** 2 × 10^{12th}**DD ** 2 × 10^{11}

b. 4 × 10^{-6} is in standard notation

**A.** 0.004 **BB** 0.000042 **C. ** 0.000004 **DD ** 0.00004

**4th**

a. Which number is irrational?

**A.** √ (49) **BB** 1/3 **C. ** √ (6) **DD ** 0

b. If x = 4, 6 √ (x) = ___________

**5.**

a. Which feature is shown below?

x × (2 + 5) = x × 2 + x × 5

**A.** Commutative property of addition **BB** Distribution property **C. ** Distribution property of multiplication **DD ** Multiplicative Inverse

b. (122 + x) × 1 = 122 + x is an example of

**A.** Identity property **BB** Distribution property of multiplication **C. ** Identity property of addition **DD ** Identity property of multiplication

**6th**

You buy a computer for $ 500. There is a 20% discount and a 6% sales tax. How much money are you paying ___________

**7th**

When x = 2 and y = 5, the value of x is^{2}y + 4x =

**A.** 28 **BB** -5 **C. ** 20th **DD ** 62

**8th.**

Draw (2, 6) and (-1, 0) on the coordinate system and find the slope with m = rise / run

**9.**

Flip a coin twice.

a. Show all different results

b. What is the probability of getting heads twice? ____________

**10.**

Find the inequality below and solve it ____________

x + 5 = 2

2 + 0 = 2

3x + 2> 11

4x + 9

**11.**

David buys a computer that costs $ 288. The manager decided to subtract a quarter (1/4) of the sale price

What expression is an approximation of what David pays after the deduction?

**A.** 300 x 0.25 **BB** 300 x 0.025 **C.** 300-300 x 0.25 **DD ** 300 + 300 x 0.25

**12th**

Simplify (2nd^{5} × 4^{10} × 6^{5}) / (2^{3} × 4^{10} × 6^{6th}
)

**A.** 4/8 **BB** 1/3 **C.** 1 **DD ** 2/3

**13th**

Find the length of x ________________

**14th**

Put the following equation in slope cut form. Then identify the slope and it will intercept

5 + y = 4x

Slope cut shape _________________

Slope _______________

y-axis intercept _______________

**fifteen.**

x% of 120 is 36. What is x? ______________

**16.**

What is the measure for the angle x? _________

**17th **

A box has the following dimensions

Length = 6 cm, width = 8 cm and height = 3 cm

The volume and surface are:

**A.** V = 144 cm^{3} and SA = 180 cm^{2}**BB** V = 144 cm^{3} and SA = 110 cm^{2}**C. ** V = 120 cm^{3} and SA = 180 cm^{2}**DD ** V = 164 cm^{3} and SA = 174 cm^{2}

**18th**

Solve for x.

-4x + 5 = 29

**19th**

If you drive, you can be 85 miles away on 5 gallons of gasoline. How many gallons do you need to be 2035 miles away?

**20th**

The sum of two consecutive even numbers is 42. What are the two numbers? (Hint: Let the numbers be 2n and 2n +2)

## Important things to keep in mind for the 7th grade math test

**Note**: A score of 16 or more on this 7th grade math test is a good indication that most of the skills taught in 7th grade have been mastered

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