EOG Review Packet 2

In the first 5 basketball games of the season, Garth scored 7, 11, 8, 4, and 11 points. After the sixth game Garth wants his mean number of points per game to be at least 9. Part a: write an inequality that represents this situation. Let x represent the number of points Garth scores in the sixth game. Part B: Solve the inequality.

A: (7+11+8+4+11+x)/6 ≥ 9 B: Combine like terms (41+x)/6 ≥ 9 multiply 6 to both sides (41+x) ≥ 54 Subtract 41 by both sides x ≥ 13

A triangle has side lengths of 5a+3 inches and 2a+3 inches. If the perimeter of the triangle is 9a+12 inches, which expression represents the length, in inches, of the third side of the triangle? A. 2a+6 B. -2a-6 C. 7a+6 D. -7a-6

(5a+3)+(2a+3)+x=(9a+12) 7a+6+x=9a+12 Subtract 7 by each side 6+x=2a+12 Subtract 6 from each side x=2a+6 A

If p(x)=x^2+2x-5 and q(x)= x-3 what is p(x)-q(x)?

(x^2+2x-5)-(x-3) x^2+x-2

What is the result when (3/8x)+2(1/5) is subtracted from 3(1/2)x-4(1/10).

-3.125x+1.9 -3(1/8x)+1(9/10)

Which of these expressions is equivalent to 6x-10x+20? 2(3x+5) 4(5-x) 4(x-5) 16x

-4x+20 A. is 6x+10 B. 20-4x C. 4x-20 D. 16x C

The production cost to make 10 shirts is modeled by the expression 1.8y+5.5 where y represents the number of meters of fabric needed to make the shirts. Which expression represents the production cost for one shirt? A. .18y+.55 B. 18y+5.5 C. 1.8y+.55 D. 18y+55y

10/1.8y+5.5=1/x so divide 1.8 and 5.5 by 10 .18y+.55 A.

A boat rental company has two kinds of boats, rowboats, and motorboats. The expression below represents the cost, in dollars, for renting each kind of boat for x numbers of hours. Cost of a rowboat rental: 8.5x+3 Cost of a motorboat rental: 17.5x+25 Which expression shows how many more dollars to costs to rent a motorboat than a rowboat for x hours? A. 8x+22 B. 9x+22 C. 9x+28 D. 26x+28

17.5-8.5=9x 25-3=22 9x+22 more B

Expand the expression below. 6y((2/3x)+6k-(1/2))

4xy+36ky-3y

Which expression is equivalent to (6x+2)+(3x+7)? A. 18x+14 B. 8x+10 C. 9(x+9) D. 9(x+1)

6x+2+3x+7 Combine like terms 9x+9 D.

Simplify the expression 7-x-(-5x)-10+4x.

7-x+5x-10+4x 7+4x-10+4x 8x-3 A.

Which expression is equivalent to (-1/12)(x+24)? A. (-1/12x)-2 B. (-1/12x)+2 C. (-1/12x)-24 D. (-1/12x)+24

A

Which expression is equivalent to m+(p+6) by the associative property? A. (m+p)+6 B. m+(6+p) C. (p+6)+m D. p+6+m

A

Pairs of expressions are given. Select the pairs that are equivalent. Pick up to 5 answers. A. (1/2)(5x-9) and (5/2x-9/2) B. -4[3(x-7)] and 6(14-2x) C. -4(6n-14) and 8(-3n+7) D. -.1(7x-2) and -.7x+.2 E. 3[-7x+44] and 3[2(x+4)-9(x-4)

A B C D E All of them

What property of addition is illustrated in the equation below? (3x+2) +16 = 3x+ (2+16)

Associative

The Erie Canal in the United States is 60 miles longer than 3 times the length of the Suez canal in Egypt. If the length of the Suez Canal is represented by the variable x, which expression below best represents the length of the Erie Canal. A. 60(3x) B. 3x+60 C. 3x /60 D. 60+3+x

B

Which equation demonstrates the inverse property of multiplication? A. (2/5)x*0=0 B. (2/5)x*1=(2/5)x C. (5/2)*(2/5)x=1*x D. (2/5)x*5=5*(2/5)x

C

For values of x when x≠0, which number property is shown below? 17x(x/x)=17x

Commutative Property

Which answer shows the factored form of -8wx+2wz-6w? A. -12(w+x+z) B. 2w(4x-z+3) C. -8w(x+2z-6) D. -2w(4x-z+3)

D

Brad's score on three math tests are three consecutive even integers. The sum of his test scores is represented by the expression below, where m represents his first test score. (m)+(m+2)+(m+4) Which expression is equivalent to the sum of Brad's test scores? A. 9m B.8m^3 C. m^3+3 D. 3m+6

D. there are 3 m's, and 6 extra points

Which of these shows (-2(18X-6Y)/-4)? A. (9x-3y) B. (-9x+3y) C. (16x-8y) D. (36x-12y)

Distribute the -2 -36X+12Y/-4 divide by -4 9x-3Y A.

Write the expression shown below in simplest terms . (4/5)(10x-25)+25

Distribute the 4/5 8x-20+25 8x+5

Which property is used to simplify the expression 5(3x+18) to 15x=90

Distribution

What is the name of the property illustrated in the question below? 3+(3x+0)-5+3x

Distributive

The expressions 5+2(x-7) and 5+2x-14 are equivalent by the A. identity property B. Distributive property C. Associative property of multiplication D. Commutative property of Multiplication

Distributive property

Students wrote expressions using the variable t below. If t represents a positive integer, whose expression has the greatest value? Student ~~~Expression Angelo~~~ -5(12t+9) Brian~~~2(6t-8) Chrissy~~~-6(-2t+18) Devon~~~-4(-3t-2)

Give t an amount for all, any number you'd like to use, Im going to use t=2 Angelo= -165 Brian=8 Chrissy= -84 Devon= 32 Devon has the greatest value

The length and width of a rectangular park are determined by the polynomials (3x+44) and (2x-3). Write a polynomial expression, in the most simplified form and terms of x, that determines the perimeter of the given park. What is the area of the given park, in the most simplified form and in terms of x? Use words, numbers, and/or pictures to show your work.

Perimeter= [2(3x+44)]+(2x-3) Area: [2(3x+44)]*(2x-3)

Which expression is equivalent to 13x-2(3x+6)? A. -5x B. 7x-12 C. 7x+12 D. 19x+12

To figure out what the question is asking you have to distribute the -2 to the 3x and 6 13x-6x-12 Combine like terms (the x's) 7x-12 B

If x,y, and z are integers then 2x+(3y+8x)=(2x+3y)+8z is an example of which property?

associative