7th grade math test

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Name ____________________                               Date:___________________

Solve the following problems

1.

a. 3⁶ × 3^-14 =

A. 3²⁰      B. 3¹⁴      C. 3^-8      D. 3⁸     


2.

|8 - 3| - | 5 - 12| =

A. -2      B. 2      C. 0      D. 5     


3.

a. 200000000000 in scientific notation is

A. 2 × 10^-11      B. 2 × 3¹¹      C. 2 × 10¹²      D. 2 × 10¹¹     


b. 4 × 10^-6 in standard notation is

A. 0.004      B. 0.000042      C. 0.000004      D. 0.00004     


4.

a. Which number is irrational?

A. √(49)      B. 1/3      C. √(6)      D. 0     

b. If x = 4,     6 √(x) = ___________


5.

a. Which property is illustrated below?

x × ( 2 + 5) = x × 2 + x × 5

A. commutative property of addition      B. Distributive property      C. Distributive property of multiplication      D. Multiplicative inverse     

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

A. Identity property      B. Distributive property of multiplication     C. Identity property of addition      D. Identity property of multiplication     


6.

You buy a computer for 500 USD. There is a 20% discount and a 6% sales tax. How much money to you pay? ___________


7.

If x = 2 and y = 5, the value of x²y + 4x =

A. 28      B. -5      C. 20      D. 62     


8.

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

9.

Throw a coin twice.

a. Show all different outcomes

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


10.

Find the inequality below and then solve it ____________

x + 5 = 2

2 + 0 = 2

3x + 2 > 11

4x + 9


11.

David buys a computer that cost 288 dollars. The manager decided to deduct one-fourth ( 1/4 ) of the sales price

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

A. 300 × 0.25      B. 300 × 0.025      C. 300 - 300 × 0.25      D. 300 + 300 × 0.25     


12.

Simplify ( 2⁵ × 4¹⁰ × 6⁵) / ( 2³ × 4¹⁰ × 6⁶)

A. 4/8      B. 1/3      C. 1      D. 2/3     


13.

Find the length of x ________________

14.

Put the following equation in slope-intercept form. Then identify the slope and they-intercept

5 + y = 4x

Slope-intercept form _________________

Slope _______________

y-intercept _______________


15.

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


16.

What is the measure of angle x? _________

17.

A box has the following dimensions

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

The volume and surface area are :

A. V = 144 cm³ and SA = 180 cm²      B. V = 144 cm³ and SA = 110 cm²      C. V = 120 cm³ and SA = 180 cm²      D. V = 164 cm³ and SA = 174 cm²     


18.

Solve for x.


-4x + 5 = 29


19.

If you car can take you 85 miles away with 5 gallons of gas. How many gallons do you need to go 2035 miles away?

20.


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 about the 7th grade math test

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

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