Solve for the missing term in the given linear equation, simplifying fractions. 5s+8−6s=1+8=1−s=
Combine like terms
s=
Subtract 8 from both sides
Divide both sides by −1
What quality characterizes a linear function? A linear function has a constant slope because it has a constant rate of change and a straight-line graph.
Find an equivalent expression for the distance 6d−6 that Karina swims, where d is the distance per lap. A. 6d−6=−6+6d
B. 6d−6=6−6d
C. 6d−6=−6(d+6)
D. 6d−6=6(d−6)
Find the equation that models the growth of a population of 100 bacteria that doubles every hour over 3 hours. N(t)=100⋅2t, where N(t) is the number of bacteria and t is the time in hours.
Find the equation that best describes the direct relationship between the total cost of gas (y) in dollars and the amount of gas purchased (x) in gallons, given that 541 gallons of gas cost $12.60.
Compare linear functions A(x)=mx+b and B(x)=m′x+b′ where A has x-intercept −2 and y-intercept 8, and B includes points (1,−4) and (2,0). The slope of A is __ the slope of B. The x-intercept of A is __ the x-intercept of B.
Solve 7=3x−2 for x. What operations isolate x? (a) Divide by 7, then subtract 2 (b) Subtract 2, then divide by 7 (c) Multiply by 3, then add 2 (d) Add 2, then divide by 3
Gina takes classes at two colleges. Westside fees are $98 per credit, Pinewood fees are $115 per credit. Gina takes 13 total credits. Express the total amount she paid.
The number of parking spaces y varies directly with the number of theaters x in a movie theater complex. Find the direct variation equation and the number of theaters the developer should build given 210 parking spaces. y=30x