Ch. 4 Algebra Review (B2)

Linear Equations

100

Find the Slope between (13,5) and (17,2) 

slope = -3/4

200

What is the slope of a line that passes through (17,2) and (11,5) 

-2

300

Find the equation of a line that passes through the following points: 

(2,13) (4,19) (6,25) (8,31) 

y = 3x+7

400

Find the y-intercept of a line passing through (1,6.5) and (7,28.7)

y = 2.8

500

The 7's were selling baseballs and basketballs to raise money for the school sport teams.  The number of basketballs sold was 2 less that 7 times the number of baseballs sold.  Basketballs were $24 and baseballs were $15.  If the group made $318, how many of each ball were sold? 

x = 2 and y =12

Elimination

100

-y+2x=4

y +x = 2

x = 2 and y = 0

200

-2y+3x = 3

2y + x = 5

x = 2 and y = 1.5

300

7y-3x = 36

8y-9x= 56

y = 4 and x = 4.3

400

2x + 40 = 30 

3x - 10 = -25 

x = -5

500

Larkin Likes to watch Sesame Street and Kaitlyn likes to watch Thomas the Train.  Kaitlyn watches twice as many episodes as Larkin does.  One episode of Thomas the Train is 30 minutes long and an episode of Sesame Street is 20.  The total time both girls watch tv is 120 minutes.  Let t = Thomas the train episodes and S = Sesame Street episodes.  Write a system.  

2s = t and 30t + 20s =120

Substitution/Equal Values

100

Solve for r: 

q = (r +2) 

5r + 3q = 46

r = 5 

200

Solve for y and x: 

y = x²+.5x +14

-10 = x²-y 

x = -8 and y = 74

300

b = 5-55+g

4g + 6b -50(-1) = 500

b = 25 and g = 75

400

y = -2x + 5

y = x - 1

x = 2 and y = 1 

500

Max and Luka love to eat frog legs and snails.  On Halloween Max gets 3 more frog legs than twice the numbers of Luka's snails.  Each frog leg costs $3 and each snail costs $2.  The total is $25.  Solve for the number of each.  

S = 2 and F = 7

Exponents

100

(2x⁵)⁴

16x²⁰

200

(4x²-8y⁵+6w⁸-18/18x⁵+14w⁷-80)⁰

1

300

(5x^-2*4x³)^-1

1/20x

400

-30x³y⁵/3x⁵y²

-10y³/x²

500

Lincoln and Bella each love a certain pair of shoes.   Lincoln likes UGGs and Bella likes converse.  Bella has 4 more than 5 times the pairs of Lincolns UGGs.  Each Pair of Uggs cost $40 and each pair of Converse costs $50.  The two total costs combined are $500.  Find the total number of each shoe(fractions are ok!) 

c = 9 and 1/24 and U = 1 and 1/24

Absolute Value

100

|2x-8| = 12

10,-2

200

3x*2|15-46| = ?

186x

300

2|11x+(-76)| = 22

x = 5.9 or 8.9

400

5 + 2|x+11| = 17

-17 or -5 

500

-4/7 * 15|-4x-76|=-9360/7

20 or -58