Checkpoint 1 review - grade 8

percents

100

40 white flowers were sold for $2.15 per flower.  Each red flower was sold for $1.90.  Let x represent the number of red flowers.  Write an expression for total money collected. 

40(2.15) + 1.90x

200

A jacket costs $48.  It goes on sale for 25% off.  The store offers a coupon for $5 off the discounted price.  What is the final cost?

$31

300

A liquid mixture contains 2.3 liters of solution A and 550mL of Solution B.  Solution B increases by 14% during heating.  What is the total heated volume in liters.  

2.927 liters

400

A batter holds 620 mAh of charge.  A cooling process decreases the charge by 18% in a minute.  After 5 minutes, the charge decreases by 12% of the new amount.  What is the final charge?

447.4 mAh

500

I have 3 cups of juice.  I add 28 oz of juice.  I then add more juice increasing the total amount of liquid by 12%.  How much do I have now in ounces?

58.24 oz

equations

100

4x + 4 = 4x - 5

How many solutions does this equation have?

none

200

(6x+4)/2 = 11

3

300

1/3x + 1/4x +5 =12

12

400

A store sells x shirts at $5 per shirt.   They sell twice as many pants at $10 each.  If they sold $650 worth of pants and shirts, write an equation to solve for x.  

5x + 10(2x) = 650

500

Sophie paints 3 rooms.  She needs 1.5 gallons of paint per room. Each gallon costs p dollars.  She spends $62.50 on supplies.  She spends a total of $253.75,  Solve for p.

$42.50

inequalities

100

2/3h>14

h>21

200

-3(7n +3) < 6n

n > -1/3

300

3/2p -2/3 < 4/9 + 1/2p

p < 10/9

400

Meg got scores of 76, 80, and 78 on her tests.  Determine the score she needs on the next exam so that her average is at least 82. 

at least 94%

500

I sold 5 toys at $2.25 per toy.  How many pieces of candy do I need to sell at $0.40 each to make at least $35 in sales total?

at least 59.375 or 60 pieces.  

rational/irrational numbers

100

Which is greater?

3pi or  square root of 50

3 pi

200

Which numbers are rational?

pi,  square root of 9, square root of 7, 4/5

square root of 9, 4/5

300

Write as a fraction.

0.1515151515.....

5/33

400

Put in order from least to greatest

square root of 16, 4  2/5, 3.4, 3  2/10, pi

pi, 3  2/10, 3.4, square root of 16, 4  2/5

500

Put in order from least to greatest

square root of 20, -2  3/5, 10/3, 3.9, 3  7/8

-2  3/5, 10/3, 3  7/8, 3.9, square root of 20

exponents

100

(5²)⁰=

Answer must be a number

1

200

(3² x 3⁵)² = 3^x

x=14

300

(7³/7⁵)² = 7^x

x=-4

400

(8x8x8x8x8x8)/(8x8x8) = 

Write the answer in exponential form

8³

500

(3⁶/3²) x (3^-2)³ = 3^x

x=-2