Algebra and Pre-Algebra Review

Vocabulary

100

Is 2d + 5=15 an expression or an equation?

equation

150

Which number is the coefficient in the equation 3x + 6 = 18

3

200

Twice a number is 18 more than 5 times a number.

2x = 18 + 5x

250

What are the "like" terms in the expression 6h + 5y - 2y +8

5y and -2y

linear

100

What is the slope of the graph of: y=12x−19?  

12

150

Algebra: 

1. The slope- intercept form of a linear equation is ___________.

Algebra: 

1. y=mx+b

200

Alg: How many solutions does the graph have?

 No solution

250

 Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x

(3, 6)

300

 Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

$1.25 per pound

350

Algebra: Find the slope of the line passing through the pair of points.

1. (2,5) and (3,6)

 6

400

Algebra: Find the slope and y-intercept of the following equation:

1. 2x - 3y = 6

m= 2/3

b=-2

solve

100

 Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

(6,9)

200

 Solve for x

2(x+5) =8

x = -1

250

Solve for k:

4(−2k−8)=6(k+18)  

k = -10

300

Solve for f

15f−23=2(4f+20)

f = 9

350

(-34, -17)

400

 Solve 5x - 3y = 9 for y.

 y = 5/3x - 3

simplify

100

1. Simplify: 3y - 9 if y = 3

1. 0

150

 Subtract the polynomials: (9x²-4x+11) - (3x²-2x+2)

2. 6x²-2x+9

200

Evaluate 

x³-xy-(x/y)

when x = 2 and y =.5

3

250

x + 10 -6(x - 3x) + 4

13x + 14

300

18 - 4k = -10 - 4k

No solution, null set

Grab Bag Part 1

100

Convert 250.025 to a mixed number.

250 1/ 40 

200

Algebra: 

1. On a map of North Carolina, the distance between Charlote and Wilmington is 14.75 in. If 2 in equals 24 miles, what is the approximate distance between the two cities?

2. Shanee bikes 5 miles to the park in 30 min and 3 miles to the library in 45 min. What is her average speed?

Pre-Algebra:

1. Evaluate: − 6 + 3(9 - 7) 

2. Evaluate: −8 ÷ 8 (1 + 3) - 1

Algebra: 

1. 177 mi

2. 6.4 mph

Pre-Algebra:

1. 0

2. -3

250

Which graph best represents: −5y=−6x+15? 

C

300

For 4 hours Sam traveled at 40 miles per hour. Then he increased his speed to 60 miles per hour and drove for another 3 hours. How far did he go in the 7 hours he traveled?

340 mi

350

The first flock contained 5283 birds. The second flock contained 5 times as many birds. The third flock had twice as many birds as the second flock. How many birds were there in all?

84,528 birds

400

Six times a number is 45 greater than the product of the number and -3. Find the number.

5

450

The number of red frogs exceeded the number of blue frogs by 80. The number of green frogs was 20 less than the number of blue frogs. If there were 120 blue fogs, what was the sum of the reds, the blues, and the greens?

420 frogs

500

Algebra: 

Pre-Algebra:

Algebra:

1. A

2. H

Pre-Algebra:

1. B

2. G

Grab Bag Part 2

100

(0.15)(0.05)

0.0075

150

Reduce to lowest terms:

102/170

3/5

200

Algebra: 

1. Write the fraction in lowest terms: 36a³b²c / 24ab²c⁴

2. Solve for x : 3(x + 1) = -6

Pre-Algebra: Find each product or quotient. Write in simplest form.

1. 1/4 divided by 1/16

2. -1 4/5 divided by 2/3

Algebra: 

1. 3a² / 2c³

2. -3

Pre-Algebra: 

1. 4

2. -2 7/10

250

3 1/ 2 × 6 1/ 3 ÷ 2 1/3 × 1 1/ 3 

 

38/3

300

The whole batch cost $28,000 and contained 140 items. Write the two rates (ratios) implied by this statement. What would be the price for 200 items?

$40,000

350

9876.5 – 643.99

9,232.51

400

If 200 is increased by 130 percent, what is the resulting number?

460

450

The ratio of roses to snapdragons was 4 to 5. If there were 26,000 roses on the float, how many snapdragons were there?

32,500

500

Algebra:

Pre-Algebra:

Algebra:

8. G 

9. C

Pre-Algebra:

8. H

9. C