Midterm Review

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100

Two increased by five times a number

2+ 5x

200

ten times the sum of a number and 9

10( x+ 9)

300

Three less than twice a number

2x - 3

400

The product of 7 and the sum of twice a number and 3 is 126

7(2x + 3) = 126

500

half of the sum of three and a number is four

1/2 (3 + n) = 4

(3 + n)/ 2 = 4

Equations

100

20 = 4(x + 3)

2

200

15 = 8x - 5 + 2x

2

300

d + 4(d + 6) = -1

-5

400

-10 + 4(3p + 10) = 18

-1

500

5m - 3[7 - (1 - 2m)] = 0

-18

Inequalities

100

2v + 1 > 7

v>3

200

7a < 3 + 7( a - 1)

no solution

300

-2 < a + 1 < 3

-3< a < 2

400

-8_< -2x _< 6

4_>x _> -3

500

l p - 7 l < 4 

p<11

p>3

Polynomials

100

(5y - 3) + ( 2y + 9)

7y + 6

200

( 2x - 5) - (x - 2)

x - 3

300

(4x⁵)(-3x²)

-12x⁷

400

(-x²y³)(3xy²)(-2x³y)

6x⁶y⁶

500

[(2x²)²]²

16x⁸

Word Problems

100

The sum of four consecutive integers is -42.

-12, -11, -10, -9

200

The sum of the consecutive ODD integers is 40 more than the smallest. What are the integers?

17, 19, 21

300

George wants to cash his $280 paycheck for an equal number of $5 bills, $20 bills, $50 bills. How many of each kind of bill will he get?

No Solution

unrealistic result

400

Laurie left home and ran to the lake at 10mi/h. She ran back home at 8 mi/h. If the entire trip took 27 mins, how far did she run in all?

4 miles

500

Jessica has 16 dimes and quarters. Whitney has twice as many dimes and 1/3 as may quarters as Jessica. If they both have the same amount of money, what coins does each have? 

Jessica - 10 dimes, 6 quarters

Whitney - 20 dimes, 2 quarters