SAT Practice: Day 1 Notes: Linear Equations, Systems, Ineq

If graphed, the ordered pairs in the table above would form a line. Where would this line intersect the x-axis?

• -2 1/2

• -1/2

• 2 1/2

• 5

Johanna picked 3 pounds of strawberries at a "pick-your-own" patch. At this particular patch, the cost is $1.50 for the pail and $3.99 per pound of strawberries picked. If a linear equation is created to represent the situation and written in the form y = mx + b, which piece of the equation would the value 13.47 in this scenario most likely represent?

• b

• m

• x

• y

• -1

• $\frac{75}{4}$

• $\frac{19}{4}$

• 33

• $x\ \le\ 13.54$

• $x\ \le\ 23.54$

• $x\ <33.54$

• $x\ <\ 43.54$

Line L shown in the graph could be the graph of which equation?

• $x+y=-2$

• $x+y=0$

• $x+y-2=x$

• $x+y+2=x$

Which of the following number lines represents the solution to the inequality  $3x+29>5-x$  ?

• 
• 
• 
• 

At the grocery store, Gigi buys apples, a magazine, and a gallon of milk. The apples are priced per pound. In her state, there is no sales tax on food. If the total cost of her items is given by the function  $C\left(p\right)=1.89p+1.07\left(3.99\right)+4.49$  , then the term 1.07(3.99) most likely represents:

• the cost of one gallon of milk

• the per-pound cost of the apples

• the cost of the magazine, including tax

• the cost of the magazine, not including tax

When a homeowner hires a contractor to renovate a bathroom, the homeowner is charged for both labor and materials. By law, the contractor can charge sales tax on the materials, but not on the labor. If the contractor quotes the homeowner $3,000 for materials and $40 per hour for labor, and sales tax in the homeowner's state is 5.5%, which equation represents the total cost for the bathroom renovation if it takes the contractor h hours to complete the job?

• $c=\left(40h+3,000\right)\left(1.055\right)$

• $c=1.055\left(40+3,000\right)h$

• $c=40h\left(1.055\right)+3,000$

• $c=40h+1.055\left(3,000\right)$

A picture framing shop sells ready-made frames and also does custom framing using different kinds and widths of wood or metal. The shop has a three-day sale. During the sale, for an 11-inch x 14-inch frame, a ready-made frame costs $12 and a custom frame costs $30. Over the course of the three days, the shop sells ninety-two 11 x 14 frames and collects $1,788. Solving which system of equations would yield the number of 11 x 14 ready-made frames r and the number of 11 x 14 custom frames c that the shop sold during the three-day sale?

• 
• 
• 
•