Abeka 9th grade Algebra 1 test 6 (second quarter exam)

Graphing: Graph the solutions of the system of inequalities. {4x-3y is less than or equal to 12 {y> -3/2x-1

4x - 3y ≤ 12: x-intercept: (3,0) y intercept: (0, -4) Y>-3/2x-1 y-intercept: (0, -1) Slope= -3/2

Which of the following is a pair of conjugates? A. (A+6)(a-6) B. (N-1)(n-1) c. (3x+1)(-3x-1) D. None of these.

A. (A+6)(a-6)

Which of the following translates to 3 is greater than or equal to 2n A. Three is at least twice a number. B. Three is the minimum of twice a number. C. three more than twice a number. D. None of these.

A. Three is at least twice a number

The graph of which of the following equations would have a slope of -4 and pass through the point (2, -4)? (3.6) = 181| a. y = -4x+4 b. y = -4x + 12 20. y - y, = m (x - x,) c. y = -4х - 6 y - (-4) = -4(x - 2) d. none of these 20. y - y, = m (x - x,) y - (-4) = -4(x - 2) y + 4 = -4x+ 8 y = -4x + 4

A. y = -4x+4

What was the original value if, after a 20% increase, the value is now 60? 28.60 = x + (20%) (x) 60=x+0.2x 60/1.2=1.2/1.2x x = 50 A.12 B.50 C.72 D. None of these

B. 50

Which of the following simplifies as x^2+2xy+y^2 A. (X+y)(X+y) B. (X+y)(X-y) C. (X-y)(X-y) D. None of these.

C. (X-y)(X-y)

simplify and write the letter of the correct choice in the blank. (-7x + 1) - (4x - 2) (6.1) 30. (-7x + 1) - (4x - 2) = -7x+1 - 4x +2 = -11x + 3 a. -11x - 1 b. -11x - 2 C. -11x + 3 d. none of these

C. -11x + 3

Graph X<3 or X>-4

C. All real numbers

If a system graphs with intersecting lines, which of the following would accurately describe the system. A. Dependent and consistent. B. Dependent and inconsistent. C. Independent and consistent. D. Independent and inconsistent.

C. Independent and consistent.

When the substitution equation is applied to the following statement, the result is -3= -3 the system has______? A. 1 solution B. 2 solutions C. Intently many solutions D. No solutions

C. Intently many solutions

Graph X < -4 and X less than or equal to 2

C. Open dot on -4 shaded to the left.

Solve each problem and write the letter of the correct choice in the blank. Show all work. |x-3| + 10 = 11 (2.4) a. x=4 b. x= +4 C. x = 4 or x = 2 d. none of these |x - 3| + 10 = 11 |x - 3| = 1| x- 3 = 1 or x - 3 = -1 x = 4 or x = 2

C. x = 4 or x = 2

Solve each problem and write the letter of the correct choice in the blank. Show all work. {4x + 3y = 6 (5.3) {6x + 7y = 4 27. (3) (4x + 3y) = (6) (3) (-2) (6x + 7y) = (4) (-2) 12x + 9y = 18 + -12x - 14y = -8 —5y = 10 Y=-2 a. (-3, 6) b. (0,2) C.(3, -2) d. none of these

C.(3, -2)

Simplify -2x (3x^2 + x-4) a. -6x^3 +X-4 b. -6x^3 - 2x^2+8x C.-6x^3-2x^2 -8x d. none of these 34. -2x (3x^2+x- 4) = (-2x) (3x^2) + (-2x) (x) + (-2x) (-4) =-6x^3 - 2x^2+ 8x

C.-6x^3-2x^2 -8x

Based on its degree, what type of polynomial is 8n^3-8n^2+9n+6

Cubic

Which of the following is an incorrect algebra statement? A. N^0=1 B. X^-6= 1/X -6. C. (A^3b)^2=a^6b^2 D. (X/y^3)^3 = x^3/y^5

D. (X/y^3)^3 = x^3/y^5

What is the remainder for 9x2 + 16x + 3/9x-2? a.- 1 B. 1 C.5 D.7

D. 7

Which of the following equations would be perpendicular to Y= 1/2 X +6 A. Y= -1/2 X +6 B. Y= 1/2 X +4 C. Y= -1/2 X -6 D. Y= 2X +3

D. Y= 2X +3

Because the system has additive inversus which system would be best to use when solving the equation { 3x+2y=7 {5x-2y=9

Elimination

Which quadrant would (-2,7) be plotted in

II or 2

The equation a+(-a)=0 illustrates which property

Inverse

What type of line would the following graph be crafted as? {y=2x-3 {y=2x+5

Parallel lines

Which number category includes -2/3

Rational

Determine the missing term for (-5x - 7) (-6x - 4) = 30x^2____+ 28. (6.3) a. + 62x b. - 62x C. - 22х d. none of these 21. (-5x - 7) (-6x - 4) = 30x2 + 20x + 42x + 28 = 30x2 + 62x + 28

a. + 62x

A used book store sells paperbacks and hardcover books. Paperbacks sell for $5, and hardcovers are $10 each. If the store sold 200 books total and took in $1,200, how many hardcover books did the store sell? 29. 5p + 10h = 1,200 P+h=200 p = 200 - h 5p + 10h = 1,200 5(200 - h) + 10h = 1,200 1,000 - 5h + 10h = 1,200 5h = 200 h = 40 a. 40 hardcover books b. 50 hardcover books c. 60 hardcover books d. none of these

a. 40 hardcover books

(x- 1) (x^2+x - 1) a. x^3 - 2x+ 1 b. x^3 - 2x^2 + 1 c. x^3- 2x^2- 2x+1 d. none of these 33. (x- 1) (x^2 +x-1) =x^3+x^2-x-x^2-x+1 =-x^3-2x+1

a. x3 - 2x+1

Solve each problem and write the letter of the correct choice in the blank. Show all work. {2x - 3y = - 1 (5.2) {y = 5x -4 26. 2x - 3(5x - 4) = -1 2x - 15x + 12 = -1 -13x = -13 x = 1 y = 5x - 4 = 5(1) - 4 = 1 a. (-2, -1) b. (1, 1) c. (-1, -9) d. none of these

b. (1, 1)

Simplify (4x2y2) (-3xy6) 31. (4x3y3) (-3xy6) = (4) (-3)x3+1y2+6 = -12x*y8 a. -12x3y8 b. -12x*y8 c. -12x3y12 d. none of these

b. -12x*y8

The 31st term of the sequence sequence 1, 7, 13, 19, 25,...is is ?. (3.5) a. 179 b. 181 с. 187 d. none of these a, = a^1 + (n - 1)d A^31 = 1 + (31 - 1) (6) =181

b. 181

What type of equation is -2 (x - 3) + 5x = 3x - 3? (2.2) a. conditional b. contradiction c. identity d. none of these 18. -2 (x - 3) + 5x = 3x - 3 -2x + 6 +5x=3x-3 3x + 6=3x-3 6 = -3

b. contradiction

Solve each problem and write the letter of the correct choice in the blank. Show all work.-4|x+2|≤-8 25. -4|x+ 2| ≤ -8 x+ 2≥2 x+2≥2 x+25-2 x≥0 or x≤-4 a. -4 ≤x≤0 b. x≥0 or x≤ -4 c. all real numbers d. none of these

b. x≥0 or x≤ -4

Which is the proper set up for (3 - x2 + 2x3) ÷ (4x + 5)? a. 4x + 5)3 - x2 + 2x3 c. 4x+ 5)2x3 -x2+0x+3 b. 4x +5)2x3 - x2+3 d. none of these

c. 4x+ 5)2x3 -x2+0x+3

Write out the absolute value equation that would be used to find what numbers are a distance of 18 from the number 33?

|x-33|=18

2x^3-10x+6/2x a. x^2- 8x + 3 b. x^2- 5x+ 3 с. x^2 -5+3/x d. none of these 2x^2 - 10x+6/2x = 2x^3/2x + -10x/2x +6/2x = x^2 - 5+3/y

с. x^2 -5+3/y