8th Grade i-learn review

Exponents

100

2⁵ x 2³

2⁸

200

5^-3/ 5⁶

Write as a positive exponent

1/5⁹

300

(6^-2 x 6²)²

1

400

(4/4⁵)^-2

Write answer in exponential form.

4⁸

500

(7⁵ x 7^-6)/ (7⁸ x 7^-12)

7³ or 343

Lines

100

Which of the following is linear?

y² = 3x - 6

3x = 4y - 1

1/x = y +6

3x = 4y - 1

200

Is the following table linear?

__xl___2__l__3__l__4__l__5____

   yl      4   l    6   l    9    l   13

no

300

A leaf falls 18 ft from a branch to the ground at a rate of 5 ft every 2 seconds.  Write an equation for this and let x = number of seconds.  

y = -2.5x + 18

400

Handout:

Find the y-intercept and the slope of the line of fit.  

yi = 11

slope = 4/3

500

What is the equation of the following table?

_xl__0__l__4__l__8__l__12___

y  l   5    l   10  l   15   l   20

y = 5/4 x +5

Equations

100

Solve the following equation:  2(x+10) = 4(2x+8)

-2

200

Write an equation for the following:  Let x = the number of hours renting a canoe and y = total cost, They charge $2/hour and an initial fee of $20.

y = 2x + 20

300

Which equation(s) has no solutions;

A)     2-3x(-2)=3(2x+4)

B)    -4x+7x+9= 3(x+9)

C)     5+6(2x-4)=3x+4x-15

A,B

400

The table shows a linear function.  Write the equation.

_x__l_5___l__10___l___15_______  

y     l  0      l     1      l      2  

y=1/5 x - 1

500

 

2x + 3x + 5 = 5x + 1 + 4

How many solutions does it have?

infinite

Miscellaneous

100

Which of the following are rational?

3pi,  2/3, -1   5/6, square root 5,  5.75

2/3, -1  5/6, 5.75

200

True or False

square root 50  is greater than 7

True

300

square root of 39 is between which two whole numbers

6 and 7

400

You  roll a 6-sided die and toss a coin.  What is the probability of rolling a 3 and landing on heads?

1/12

500

True or False

1/2 greater than  1/square root 2

False

Geometry

100

The legs of a right triangle are 3 ft and 4 ft.  What is the length of the hypotenuse?

5 ft

200

A ladder leaning against a building is 20 ft long.  How high up the building does it reach if the bottom of the ladder is 7 feet away from the building?  Round to the tenth.

18.7 ft

300

A cone has a volume of  45in³ .   What is the height of the cone if the radius is 3 inches?  Round to the tenth.

4.8 in

400

What is the volume of a sphere if the radius is 6 cm? Round to the nearest tenth.

904.8 cm³

500

Find the radius of a sphere if the surface area is 420 in².  Round to the tenth.

5.8 in