Name: Per: Date: _ ID: A

Secondary IH Unit 1 Review

Multiple ChoiceIdentify the letter of the choice that best completes the statement or answers the question.

Write an algebraic expression for the phrase.

1. a number squared is 25A) X

25

B) x3 = 25C) x2 = 25D) 2x= 25

2. 3 less than y is equal to 7A) 3 - y = 7

B) Y - 3 = 7

C) 3y = 7

D) y = 73

3. the quotient of a number and 10A) m-lO

B) m+ 10

C) 10m

D)m10

4. the product of g and 4

A) 4g B) g+4 C) g4

D) g-4

5. Write a word phrase that can be represented by b - 6.A) the difference of 6 and b C) 6 more than a number bB) the quotient of a number band 6 D) 6 less than a number b

6. For the expression Sm - 8 name the constant.A) 8B) -8

C) 5D) -5

7. For the expression xy + 7 name the terms.A) x, y, 7B) add, subtract, multiply, .....

C) xy,7D) xY,-7

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8. For the expression -6y - 5 name the coefficient.~ 6 q 5B) -5 D) -6

9. For the expression Sr - 8, name the factors.A) 5, r, 8B) ±1,± 2, ± 4, ± 5, ± 8, r

C) 5,r,-8D) ±1, ±2, ±4, 5, ± 8, r

10. James paid $18 per hour to rent a rowboat. His total cost was $56. Write an equation to model this situationif h = number of hours.

A) 18h = 56 B) 56-18=h q h= 18·56 hD) 56 = 18

11. Write a variable expression for 9 more than a number s.A) 9-s B) s+9 C) s+10 D) 9 +s

12. To print tickets, a printer charges a $70 setup fee plus $1.25 per ticket. Write an algebraic expression for thecost of t tickets. What is the cost of 650 tickets?A) 1.25t+ 70; $882.50 q 1.25(-70; $742.50B) 1.25t+ 70; $812.50 D) 1.25t-70; $882.50

13. Name the coefficients in the expression 4x + 9 - Y.A) 4,9,0 B) 4, -1 q 4 D) 9

14. Name the constant(s) in the expression 7x + 9y + 3.A) x andy B) 7 q 9 D) 3

15. The sum of two numbers is 82. Their difference is 24. Write a system of equations that describes thissituation. Solve by elimination to find the two numbers.A) x +y = 82 C) x +y = 24

x - y = 24 y - x = 8248 and 24 48 and 30

B) x - y = 82 D) x + y = 82x + y = 24 x - y = 2452 and 30 53 and 29

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Which number is a solution of the inequality?

16. 6::::6kA) 8 B) 18 C) 2 D) 1

17. 3x -15:::: 3911A) B) 5 C)

611 D) 6

Write an inequality for the graph.

18. f--t-O I I I I I I I I I )-10 -8 --{i --4 -2 0 2 4 6 8 10

A) x:s;-8 B) x <-8 C) x>-8 D) x<8

19. ( I I I I I I • I I I-5 --4 -3 -2 -I 0 1 2 4

A)1

B)1

C)1

D)1m>- m5,-2 m>- m<--2 2 -2

20. Tina can type at least 60 words per minute. Write and graph an inequality to model this situation.A) t-: 60 C) t> 60

(I I I I I I 0 I I I I I ) ( I I I I I I a I I I I I)0 10 20 30 40 50 60 70 80 90 100 110 0 10 20 30 40 50 60 70 80 90 100 110

B) t:::: 60 D) i-: 60( I I I I I I • I I I I I) (I I I I I I • I I I I I )

0 10 20 30 40 50 60 70 80 90 100 110 0 10 20 30 40 50 60 70 80 90 100 110

Solve the inequality. Then graph your solution.

21. _!l < 24 -

A) x:s;-8 C) x::::8( I • I I I I I I I I I I I I I I I I I • I )

-10 -8 --{i --4 -2 0 2 4 6 10 -10 -8 --{i -4 -2 0 2 4 6 8 10

B) x:s;6 D) x::::-8I I I I I I I I • I I ) I • I I I I I I I I )

-10 -8 --{i --4 -2 0 2 4 6 8 10 -10 -8 --{i -4 -2 0 2 4 6 10

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22. -8:$; 2x - 4 < 4A) O:$;x< 6 C) -2:$;x < 4

I I I I • I 0 I I I I • I I 0 I I-8 -6 -4 -2 0 4 6 8 -8 -6 -4 -2 0 2 4 6 8

B) -2:$;x < 0 D) -6:$;x < -21 1 1 • 0 1 I I I • 1 0 1 1 I I

-8 -6 -4 -2 0 2 4 6 -8 --6 -4 -2 0 2 4 6

Solve the inequality.

23. 12 + lOw ~ 8(w + 12)~ w~-~ ~ w~~ C) w ~ 42 D) w ~ 54

24. The French club is sponsoring a bake sale. If their goal is to raise at least $140, how many pastries must theysell at $3.50 each in order to meet that goal? Write and solve an inequality.A) 3.50p ~ 140; p ~ 490 C) 3.50p ~ 140; p ~ 136.5B) 140p ~ 3.50; p ~ 40 D) 3.50p ~ 140; p ~ 40

Write a compound inequality that represents each situation. Graph your solution.

25. all real numbers at least -6 and at most 3A) -6;?:x;?: 3 C) -6 <x < 3

( I • I I I I • I I I I I ) I I a I I I 101 I I I-8 --6 -4 -2 0 2 4 6 8 10 12 -10 -8 --6 -4 -2 0 2 4 6 8 10

B) -6~x~3 D) -6:$;x:$; 3

I a I I I I • I I I I I I I • I I I I. I I I I-8 --6 -4 -2 0 2 4 6 8 10 12 -10 -8 --6 -4 -2 0 2 4 6 8 10

Write a compound inequality that the graph could represent.

26. 1 • 1 1 1 1 0 1 1-5 -4 -3 -2 -I 0 2 4 5

A) -2:$;x < 4 C) x ~ -4 or x < 2B) -4<xs:;2 D) -4s:;x<2

27. ( I I 0 1 I I • 1 )-5 -4 -3 -2 -I 0 1 4

A) d » - 3 or d s; I C) d < -3 or d ;?:

B) d < -lor d ~ 3 D) -I:$; d < 3

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Solve the compound inequality. Graph your solution.

28. 2x - 2 < -12 or 2x + 3 > 7A) x <-5 or x> 2 C) x < -7 or x> 5

f-<l I I I I I 0 I I ) ( I 101 I I I I 101 I )-5 -4 -3 -2 -1 0 2 4 5 -10 -8 --{j -4 -2 0 2 4 6 10

B) x <-5 or x> 5 D) x <-12 or x> 2

( I I 101 I I I 101 I ) ( I I 0 I I I C I I I I )-10 -8 -6 -4 -2 0 2 4 6 10 -20 -16 -12 -8 -4 0 4 12 16 20

29. Solve the volume formula V= lwh for h.V

A) h = Vlw B) h = - + wI

lwC) h =-

V

VD) h =-

lw

30. Solve the perimeter formula for an isosceles triangle, P = 2a + b, for b.P 2a

A) b = - B) b = - C) b = P + 2a D) b = P - 2a2a P

31. 1Solve the area formula for a triangle, A = -bh, for h.

22b b

A) h =- B) h =-A 2A

2AC) h =-

bD) h

A2b

Name the property of real numbers illustrated by the equation.

32. -2(x + 11) = -2x - 22A) Associative Property of MultiplicationB) Distributive PropertyC) Commutative Property of AdditionD) Associative Property of Addition

33. 2· ( -J8 . 7) = (2 . -J8) . 7A) Distributive PropertyB) Associative Property of MultiplicationC) Commutative Property of MultiplicationD) Associative Property of Addition

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34. tt : 6 = 6 . l[

A) Associative Property of MultiplicationB) Commutative Property of AdditionC) Commutative Property of MultiplicationD) Closure Property

35. -6+6=0A) Identity Property of MultiplicationB) Inverse Property of MultiplicationC) Associative Property of AdditionD) Inverse Property of Addition

36. -2.5 + 0 = -2.5A) Inverse Property of MultiplicationB) Identity Property of AdditionC) Inverse Property of AdditionD) Identity Property of Multiplication

Short Answer

Write the expression or equation that represents each situation. Be sure to define your variables.

37. Michael charges a registration fee of $15 plus $8 per hour of tutoring.

38. An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. Johnpaid the admission fees for his six nephews and rented five pairs of ice skates. He was charged $32.00.Juanita paid the admission fees for her seven grandchildren and rented five pairs of ice skates. She wascharged $35.25. Write the system of equations and solve. What is the admission fee? What is the rental feefor a pair of skates?

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39. A motorboat can go 8 miles downstream on a river in 20 minutes. It takes 30 minutes for the boat to goupstream the same 8 miles. Find the speed of the current.

Fill in each missing reason.

40. Justify each step in solving the equation 3x + 5(x - 1) = 155

3x + 5(x - 1) = 155 A. _

3x + 5x - 5 = 155 B. ----------------------8x-5 = 155 C. _

8x = 160 D. _

x = 20 E. --------------------

3(20) + 5(20 - 1) = 155F. _

42 + 6(18) = 150

42 + 108 = 150

150 = 150

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