Equations and Inequalities STAAR Algebra

Which equation below represents the algebra tiles?

Tags

7.11.B

Solve for x:

4x + 1 = 5

Write your answer as a whole number (Simplify)

Tags

7.11.B

What is the equation in slope intercept form of the line that passes through (5, -1) and is parallel to y = -3/5x - 4.

• y = 3/5x - 4

• y = -3/5x + 1

• y = 5/3x - 28/3

• y = -3/5x + 2

Mathematical Equivalence

ON

The slope parallel to the equation f(x)=5x-10 is (a)  

• 5

• -5

• -10

• 15

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day.

Write a linear equation to represent this situation.

Mathematical Equivalence

ON

Answer explanation

Because this is a linear function, we will use slope-intercept form (y = mx + b).

$80 is the starting or fixed cost which represents the b, or the y-intercept.

$45 is the rate per hour which represents the m, or the slope.

Therefore, the equation is y = 45x + 80.

Tags

A.2(A)

I bought $3 each for tacos and $1.50 each for sodas and spent a total of $15. I purchased a total of 6 items. Which systems of equations can be used to find the total number of tacos and sodas that were purchased?

• x - y = 6

  3x - 1.5y = 21

• x + y = 15

  1.5x + 3y = 6

• 3x + 1.5y = 15

  x + y = 6

• x + y = 15

  x + y = 6

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The value of y varies directly with x, and y = -18 when x = 6. find y when x = -8.

• -3

• 24

• -24

• 8