Math STAAR Questions

What is the solution to 10 − 3(m − 5) = 2(5 − m)? Record your answer in the space provided.

15 10 - 3(m - 5) = 2(5 - m) 10 - 3m + 15 = 10 - 2m -m = -15 m = 15

In the expression shown, x is a value where the expression is defined. (2x^8)(3x^-1)^2 What is the simplest form of the expression? Write your answer in the form ax^b. Record your answer in the space provided

18x6

Dance lessons are offered at two studios. The cost of dance lessons at each studio is shown. • Studio Q charges a $30 registration fee plus $80 per month. • Studio R charges a $105 registration fee plus $65 per month. After how many months will the total cost of the dance lessons be equal at the two studios? A. 5 B. 280 C. 9 D. 430

A

Which expression is equivalent to x^-6 y^4/x^3 y (write the equations out, it'll make more sense) for all values of x and y where the expression is defined? A. y^3/x^9 B. y^4/x^9 C. y^5/x^3 D. y^4/x^2

A

Which statement about the graph of the function f(x) = 35(1.4)^x is true? A. The y-intercept of the function is (0, 35). B. The x-intercept of the function is (1.4, 0). C. The graph of the function is decreasing for all values of x. D. The asymptote of the function is y = 0.4. (Asymptote- An asymptote is a line that a graph of a function gets closer and closer to but never touches or crosses. It's like a boundary that the function approaches but doesn't actually reach, especially as you look towards very large or very small input values. Asymptotes help describe how a function behaves in the long run.)

A

Which expression is equivalent to √75? A. 5√3 B. 15√5 C. 3√5 D. 5√15

A. 5√3

What are the factors of 2x^2 + x − 15? Select TWO correct answers. A. x + 3 B. 2x − 3 C. x + 5 D. 2x − 5 E. x − 3 F. 2x + 5

A. x + 3 and D. 2x - 5

An artist bought a set of 10 paintbrushes that contained x small paintbrushes and y large paintbrushes. The number of small paintbrushes in the set was 4 times the number of large paintbrushes in the set. Which system of equations can be used to find the numbers of small paintbrushes and large paintbrushes in the set? A. x + y = 10 x = 4y B. x − y = 10 x = 4y C. x + y = 10 y = 4x D. x − y = 10 y = 4x

A. x + y = 10 x = 4y

A shipping company started with 40 employees. The number of employees at the shipping company increases at a rate of 7.5% each year. Which function can be used to model the number of employees, f(x), at the shipping company after x years? A. f(x) = 43(1.075)^x B. f(x) = 40(1.075)^x C. f(x) = 43(0.075)^x D. f(x) = 40(0.075)^x

B

Quadratic function f has vertex (4, 15) and passes through the point (1, 20). Which equation represents f? A. f(x) = − 5/9 (x − 4)^2 + 15 B. f(x) = 5/9 (x − 4)^2 + 15 C. f(x) = − 35/9 (x − 4)^2 − 15 D. f(x) = 35/9 (x − 4)^2 − 15

B

What are the solutions to the equation (x + 13)(x − 6) = 0? A. x = 6 and x = 13 B. x = −13 and x = 6 C. x = −6 and x = 13 D. x = −13 and x = −6

B

What is the slope of the line that passes through the points (10, 18) and (−5, −12)? A. 1/2 B. 2 C. -2 D. -1/2 (negative one half)

B

Which expression is a factor of −6x^2 − 19x + 20? A. 3x − 5 B. 6x - 5 C. x - 5 D. 2x - 5

B

Which expression is equivalent to (2m^4)(5m^8)? A. 7m^12 B. 10m^12 C. 7m^32 D. 10m^32

B. 10m^12

For quadratic function f, the solutions to the equation f(x) = 0 are 7 x = 5 and x = − 2 3 . Which function could represent f? A. f(x) = 14x^2 + 11x − 15 B. f(x) = 15x^2 − 11x − 14 C. f(x) = 14x^2 − 11x − 15 D. f(x) = 15x^2 + 11x − 14

B. f(x) = 15x2 − 11x − 14

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. f(x) = 480 − 96x Which statements are true about the domain and range of the function for this situation? Select TWO correct answers A. The domain of the function is the set of all real numbers. B. The domain of the function is {0, 1, 2, 3, 4, 5}. C. The domain of the function is {0, 96, 192, 288, 384, 480} D. The range of the function is the set of all real numbers. E. The range of the function is {0, 1, 2, 3, 4, 5} F. The range of the function is {0, 96, 192, 288, 384, 480}.

B: The domain of the function is {0, 1, 2, 3, 4, 5}. F: The range of the function is { 0, 96, 192, 288, 384, 480}.

Check screenshots (36)

C

Check screenshots (40)

C

What are the solutions to the equation x^2 − 2 = −3x? A. 3 ±√17/2 B. −1 and 2 C. -3 ±√17/2 D. −2 and 1

C

Which expression is equivalent to (z + 5)(z^2 − 4z + 6)? A. z^3 + 5z^2 + 6z + 30 B. z^2 + z + 11 C. z^3 + z^2 − 14z + 30 D. z^2 − 3z + 11

C

Which expression is equivalent to k^2 − 5k − 6? A. (k − 1)(k + 6) B. (k − 3)(k + 2) C. (k − 6)(k + 1) D. (k − 2)(k + 3)

C

What is the solution set for 12 − 4w > 2(w − 18)? A. w > 8 B. w < 5 C. w < 8 D. w > 5

C. w < 8

Check screenshots (7)

Check screenshots ($320 decreases 10%)

Check screenshots (48)

Check screenshots (-0.5, -1.5)

Check screenshots (12)

Check screenshots (A)

Check screenshots (44)

Check screenshots (A)

Check screenshots (47)

Check screenshots (A)

Check screenshots (9)

Check screenshots (A)

Check screenshots (24)

Check screenshots (B)

Check screenshots (29)

Check screenshots (B)

Check screenshots (33)

Check screenshots (B)

Check screenshots (31)

Check screenshots (Both (row 1, column 3) Association Only (row 2, column 1)

Check screenshots (18)

Check screenshots (C)

Check screenshots (25)

Check screenshots (C)

Check screenshots (13)

Check screenshots (D)

Check screenshots (17)

Check screenshots (D)

Check screenshots (46)

Check screenshots (D)

Check screenshots (15)

Check screenshots (Slope: 2 y-intercept: -4)

Check screenshots (3)

Check screenshots. (-1, 0) and (3, 0) Recognized that the x-intercepts are located where the graph crosses the x-axis, which are (-1, 0) and (3, 0)

A function is shown. f(x) = 2/5 (x − 25)^2 + 13 What is the range of the function? A. All real numbers B. All real numbers greater than or equal to 25 C. All real numbers greater than or equal to 10 D. All real numbers greater than or equal to 13

D

A system of linear equations is shown. x − 3y = 7 x − 2y = 2 What is the value of x in the solution to this system of equations A. 5 B. -5 C. 8 D. -8

D

Which expression is a factor of 16m^2 − 81 A. 2m - 9 B. 16m + 9 C. 8m - 9 D. 4m + 9

D

Which value represents the rate of change of y with respect to x for this function: 2/5x - 4/7y = 3/2 A. - 21/8 B. 8/35 C. - 6/7 D. 7/10

D

The function f(x) = x was transformed to form g(x) = f(x) − 23. Which statement is true about the graphs of f and g? A. The graphs of f and g are not parallel, and the graph of f is translated 23 units up to create the graph of g. B. The graphs of f and g are not parallel, and the graph of f is translated 23 units down to create the graph of g. C. The graphs of f and g are parallel, and the graph of f is translated 23 units up to create the graph of g. D. The graphs of f and g are parallel, and the graph of f is translated 23 units down to create the graph of g.

D. The graphs of f and g are parallel, and the graph of f is translated 23 units down to create the graph of g.

Which statement about f(x) = 12x^2 − 36x + 27 is true? A. The zeros are ± 2 because f(x) = 3(2x − 3)(2x + 3). B. The zeros are ± 3 because f(x) = 3(2x − 3)(2x + 3) C. The only zero is 2 because f(x) = 3(2x − 3)^2 D. The only zero is 3 because f(x) = 3(2x − 3)^2

D. The only zero is 3 because f(x) = 3(2x − 3)2

The function f(x) = x^2 was transformed to create the function g(x) = f(x − 2) + 5. Complete the sentence about this transformation. Select ONE correct answer in each box to complete the sentence. The graph of f is translated 2 units: A. Down B. Up C. Left D. Right AND 5 units-: A. Down B. Up C. Left D. Right -to create the graph of function g

Right, up

check screenshots (23)

check screenshots ((1, 2), (1, -4), (4, 0))

Check screenshots (5)

check screenshots (C)

The equation of line k is y = −x + 17. Line n is parallel to line k and passes through the point (−5, 7). Determine an equation that represents the relationship between x and y for line n. Record your answer in the space provided

y = -x + 2 or x + y = 2

A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour. Create a function that can be used to find y, the mass of the substance in grams remaining after x hours. Record your answer in the space provided.

y = 963(0.73)x