Free Printable Algebra 2B - Week 4 Summative Study Guide

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Algebra 2B - Week 4 Summative Study Guide

Total questions: 40

Worksheet time: 5hrs 8mins

Name

Class

Date

Evaluate this expression using the quotient rule.

9⁵

9⁹

1⁵

9^-5

Simplify:
(x³)(x²)

x⁵

x⁶

x^1.5

Simplify:
x⁵÷ x²

x⁷

x³

x¹⁰

x^2.5

$\left(-7x^2\right)\left(4x^4\right)$

$-28x^8$

$-28x^6$

$-3x^8$

$-3x^6$

$\left(-2x^3y^2\right)\left(5xy^4\right)$

$3x^3y^8$

$3x^4y^6$

$-10x^3y^8$

$-10x^4y^6$

When you graph the exact same equation twice,

you will have no solution.

you will have one solution.

you will have infinite solutions.

you will graph a giraffe.

How many solutions will this system have?

No solution

One Solution

I Don't Know

Infinitely Many Solutions

Solve the system by graphing:
y = 6x - 4
y = -x + 3

Tip: Graph on Desmos

(1, 2)

(2, 1)

(4, 5)

(2, 4)

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

Infinite Number of Solutions

No Solution

One Solution

10.

Solve by elimination:
4x+9y=28
-4x-y=-28

(-7,0)

(6,0)

(-6,0)

(7,0)

11.

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

you cannot solve this using eliminiation

cross out the 2x and 3x

cross out the 2y and -2y

change to slope intercept form and graph

12.

Solve the system using elimination.
3x + 2y = 16
7x + y = 19

(-2,5)

(-2,-5)

(2,-5)

(2,5)

13.

Write a new equation after replacing one variable with the other variable in the problem. (Hint: replace the y's).

4 lines

14.

Write the new equation to solve after using the substitution process correctly for the system.

y = 5x - 7

-3x - 2y= -12

-3(5x - 7) - 2y= -12

-3x - 2(5x-7) = -12

-3x -2y = 12(5x-7)

15.

Solve the system of equations using the substitution method.

(4, 3)

(3,-4)

(3, -6)

16.

Solve:
x = -3y - 17
2x + 3y = -7

(1, -20)

(3, 0)

(-5, -2)

(10 , -9)

17.

Solve for x
l 5x l = 40

x = 8 and x =-8

x = 35 and x = -35

Only x = 8

No Solution

18.

Solve for x
l 2x−1 l +4 = 8

x = 2.5 and x = -1.5

x = 2 and x = -1

x = -2 and x = 9

No Solution

19.

−2|−2r − 4| = -12

{3,1}

{-5,1}

{-3}

No Solution

20.

What's a way to define absolute value?

The value of a number

The opposite of a number

The distance of a number from zero

The multiplicative inverse of a number

21.

An inequality using a > or a < has a ___________ line

invisible

solid

dashed

22.

Is (3,-4) a solution to this system?

yes

23.

Pick the ordered pair that is NOT a solution

(0,0)

(1,-1)

(2,0)

(4,-4)

24.

Consider the function y<2x+3. Which is true?

The line would be solid with shading above.

The line would be dashed with shading above.

The line would be solid with shading below.

None of these.

25.

Given: y < 4x + 3

Would shade above or below the line?

Above

Below

26.

Solve the system of inequalities by graphing.

27.

Pick ALL correct answers.

Which are solutions to the system?

(-5,4)

(-5,-2)

(0,10)

(5,10)

(0,-5)

28.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

x + y = 15
4x + 2y = 44

4x + 2y = 15
x + y = 44

x = 2y + 44
4x = y + 15

2x - 4y = 44
x - y = 15

29.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

4x + 6y = 3
13.5x - 13y = 6

x + y = 4
x - y = 6

4x + 6y = 13
3x + 7y = 13.5

4x - 6y = 13
3x - 7y = 13.5

30.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Sugar Cookies $5
Oatmeal Cookies $3

Sugar Cookies $4
Oatmeal Cookies $8

Sugar Cookies $2
Oatmeal Cookies $6

Sugar Cookies $3
Oatmeal Cookies $6

31.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

Van 43
Bus 14

Van 11
Bus 21

Van 14
Bus 43

Van 17
Bus 45

32.

Which inequality will represent the situation:

Tyler has no more than $20 in his bank account.

33.

Which inequality will represent the situation:

TCHS can have up to 15 players on the baseball team before it is full.

x < 15

x > 15

x > 15

34.

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

x+y≤300
7.5x+5.5y≥2000

x+y<300
7.5x+5.5y≥2000

x+y≤300
7.5x+5.5y≤2000

x+y>2000
7.5x+5.5y≤300

35.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

b + t < 15
3b + 6t > 66

b + t > 15
3b + 6t < 66

3b + 6t > 15
b + t < 66

3b + 6t < 15
b + t < 66

36.

Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Your tank can hold 14 gallons at most. Write a system to represent this situation.

x+y≤14
2x+3y≤18

2x+3y≤14
x+y≤18

2x+y<18
x+3y<14

x+14≤y
2x+3y≤18

37.

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.

x + y ≥ 25
x + y ≤ 8

100x + 25 y ≤ 100
2x + 8y ≤ 14

x + y ≥ 100
8x + 25y ≤ 14

8x + 25y ≥ 100
x + y ≤ 14

38.

Solve:

10 ≥ x - 3

x ≤ 13

x ≥ 13

x ≤ 7

x ≥ 7

39.

What inequality does the number line graph represent

x ≤ 4

x ≥ -4

x < -4

x < 4

40.

Mr. Jarowski is hanging a square picture frame that has an area of 169 cm². Find the side length of the frame.

12 cm

13 cm

13 in

16 cm

100 %

Algebra 2B - Week 4 Summative Study Guide

Total questions: 40

Worksheet time: 5hrs 8mins

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