Algebra 1 Slope and Rate of Change Quiz: 10 Questions with Explanations

A 4B \(\frac{1}{4}\)C 36D \(-\frac{1}{4}\)

Slope is rise over run: 3/12 = 1/4. Inverting the ratio gives 4.

A 0B UndefinedC 7D -1

The y-values are equal, so the rise is 0. The line is horizontal and the slope is 0.

A 0B 8C \(\frac{1}{8}\)D Undefined

The x-values are equal, so the run is 0 and the line is vertical. Slope is undefined.

A 3B -6C -3D \(-\frac{1}{3}\)

When x increases by 2, y changes by -6, so the slope is -6/2 = -3.

A $15 per hourB $30 per hourC $2 per hourD $60 per hour

Pay goes up $30 for every 2 hours, which is $15 per hour. Using the first row only gives $30.

A The cost before any hoursB The cost for each hourC The total cost for 6 hoursD The number of hours

The coefficient of x is the slope, which is the cost per hour. The 25 is the fixed starting cost.

A 30 gal/minB 3 gal/minC 10 gal/minD 15 gal/min

Divide the change in volume by the change in time: (50 – 20)/(4 – 1) = 10.

A -2 mi/hB 2 mi/hC 0 mi/hD -4 mi/h

The distance changes by -4 miles in 2 hours: -4/2 = -2.

A 7B 9C 15D 11

(y – 3)/4 = 2, so y – 3 = 8 and y = 11.

A Yes, y always increasesB No, the rate of change is not constantC Yes, x increases by 1D No, because y starts at 2

The changes in y are 3, 5, 7, so the rate is not constant. Increasing is not enough to be linear.