Exponents
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Review
System of Inequalities
100

(3x3)(5x2)

What is 15x5

100

x/x

What is 1

100

Solve the system of equations by substitution. y = 2x + 3 y = 5x

5x = 2x + 3 y = 5(1) Solution: (1, 5) 3x = 3 y = 5 x = 1

100

Write the equation for: purchasing five cards plus the sales tax of $0.43 is $6.68

What is 5x + 0.43 = 6.68

100

Solve the system of equations by elimination. x + 3y = -2 x - 3y = 16

Graph the system of inequalities.  y < 3 (less than or equal to) y > x + 2. Decide if _3,1 is a solution.

What is 2x = 14 7 + 3y = -2 Solution: (7, -3) x = 7 3y = -9 y = -3

Yes

200

(3ab3)/(9ab3)

What is 1/3

200

16x5/4x3x-1

What is 4x3

200

Solve the equation. 5(4w - 20) = 4(5w - 25)

What is 

infinitely many solutions

200

Graph the system of linear inequalities. Describe the solution. 2x + y < -1 2x + y > 3

What is No solution

200

Tell whether the ordered pair is a solution of the system of linear inequalities. y < 5 (-1, 5) y > x - 4

What is   No, 5 is not less than 5.

300

(ab)(ab)

What is a2b2

300

x3y/x1y2

What is x2/y

300

Find the slope of the line through the given points. (1, -2), (7, -2)

What is 0

300

A line passes through the given points. Write an equation in point-slope form.

(4,-2) (9, -8)

What is 

y-5 = 5/3(x-3)

300

Write a system of linear inequalities represented by the graph shown.


What is 

y< or equal to -3/4x-1

y< x+ 3

400

(2a2)(-3a)(2a)3

What is -48a6

400

 16a12b-166ab/3ab2

What is 32a12/b18

400

 Write the equation of a line that is perpendicular to a line that goes through (3,-13) and (17, -13)

What is 

x =(any number)

400

A mathematical phrase that uses numbers, variables, and and operation symbols

What is 

algebraic expression

400


Write a system of linear inequalities for this situation. Graph the inequalities. You can spend at most $21 on fruit. Blueberries cost $4 per pound and strawberries cost $3 per pound. You need at least 3 pounds to make muffins. Is it possible to buy 4 pound of blueberries and 1 pound of strawberries in this situation?

What is 

x = pounds of blueberries x + y > 3 (or equal to) y = pounds of strawberries 4x + 3y < 21 ( or equal to) Yes this is more than 3 pounds and costs $19, which is less than $21.

500

(-3b2)(-b)(b2)3

What is 3b9

500

15a3b4/(2a3b4)412a3b3

What is 15/192a9b15

500

Write the equation of the table.

X         Y

18       63

24       49

36       21

What is 

y = -7/3x + 105

500

Solve for r

C = 2vr + 2m

What is 

r = (C/2v) - (m/v)

500

You can spend at most $60 on lace. Cotton lace is $2 per yard and linen lace is $3 per yard. Write an inequality for the amounts of lace you can buy. Can you buy 12 yards of cotton lace and 15 yards of linen lace? Explain

What is 

2x + 3y < 60 (or equal to) No you cannot buy 12 yards of cotton lace and 15 yards of linen lace because (12, 15) is not a solution of the inequality.

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