SAT algebra — practice questions
40 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice SAT algebra in the app →If f(x) = x + 5 and g(x) = 3x, what is the value of f(2) + g(2)?What is the y-intercept of the line y = -3x + 8?What is the slope of the line passing through (1, 4) and (5, 12)?If 2x + 3y = 12 and x − y = 1, find x.A linear function f satisfies f(0) = 5 and f(2) = 11. What is f(5)?A video game system costs $100, and each game costs $25. Which equation gives total cost y, where x is the numWhich point (x, y) is a solution to the inequality y < 2x + 1?Store A sells apples at $3 per kg and oranges at $4 per kg. A customer spent $24 on a total of 7 kg of apples If the system of equations { 2x + 3y = 10, 4x + 6y = c } has infinitely many solutions, find c.A line passes through (2, 7) with slope -3. Find the x-intercept.If 5(x - 2) = 3x + 4, find x.For the equation y = mx + b, if (3, 7) and (-1, -5) are two points on the line, find b.Solve for x: 7x - 4 = 3x + 12If f(x) = 2x - 3, find f(5):Convert the slope-intercept form y = 4x - 7 to standard form (Ax + By = C):What is the slope of the line 2x + 3y = 12?Find the value of (3x - 2)(2x + 5) when x = 1:If 4x - 9 = 2x + 15, what is the value of 2x + 5?A line passes through (-2, 5) and (4, -7). Find its slope:If 5a + 2b = 19 and a - b = 1, find a:What is f(g(2)) if f(x) = x + 3 and g(x) = 2x?If 4(x-3) + 2(x+1) = 14, find x:For what value of k will the system 2x + 3y = 6 and 4x + ky = 8 have NO solution?Find x: 2(3x + 1) - 4(x - 2) = 18In a linear function, when x increases by 3 and y decreases by 6, the slope is:If 5x + 2 = 17 and 3y - 1 = 14, find x + y:A car rental costs $30 base plus $0.20 per mile. Find m miles for a $50 total:If $f(x) = 2x + 5$ and $g(x) = 3x$, what is the value of $f(4) - g(4)$?The y-intercept of the graph of $y = -3x + 14$ in the xy-plane is which of the following?A linear function models the total cost $y$, in dollars, for a printer and $x$ ink cartridges. The graph passeA school orders pens and notebooks. Each pen costs ₹5, each notebook costs ₹12, and the total bill is ₹120. IfWhich point $(x, y)$ is a solution to the linear inequality $y < 2x - 3$ in the xy-plane?A line in the xy-plane passes through $(0, 4)$ and $(3, 13)$. Which equation represents this line?In the system $2x + 3y = 12$ and $4x - 3y = 6$, what is the value of $x$?A school sold 50 tickets in total. Adult tickets cost ₹200, child tickets cost ₹100, and total revenue was ₹8,How many solutions does the system $y = 2x + 5$ and $4x - 2y = 6$ have?In y = mx + b, the constant m represents the:The y-intercept is the value of y when x equals:If f(x) = 2x + 3, then f(5) equals:Given 5.5r + 3b = 37 and 6.5r + 8b = 66, then b equals: