SAT Practice Questions

Browse free SAT practice questions across Reading, Writing, and Math. Each one opens a study page with the full prompt and worked solution.

SSQB Equivalent expressions — Easy

SSQB Equivalent expressions — Medium

Math•Q12
Which expression is equivalent to \((x^{2} + 11)^{2} + (x - 5) (x + 5)\)?
Math•Q6
If \(a = 4 k + 5 r\) and \(b = 7 k - 12 r + 3\), which expression is equivalent to \(a - b\)?
Math•Q14
Which expression represents the product of \((x^{- 6} y^{3} z^{5})\) and \((x^{4} z^{5} + y^{8} z^{- 7})\)?
Math•Q15
\(f (x) = x^{2} + b x\) \(g (x) = 9 x^{2} - 27 x\) Functions \(f\) and \(g\) are given, and in function \(f\), \(b\) is a constant. If \(f …
Math•Q5
Which expression is equivalent to \((d - 6) (8 d^{2} - 3)\)?
Math•Q10
Which expression is equivalent to \(a^{\frac{11}{12}}\), where \(a > 0\)?
Math•Q11
Which expression is equivalent to \(\frac{h^{15} q^{7}}{h^{5} q^{21}}\), where \(h > 0\) and \(q > 0\)?
Math•Q4
\(g (x) = \frac{3}{5} x + \frac{7}{6}\) \(h (x) = 6 x - 5\) The functions \(g\) and \(h\) are defined by the equations shown. Which express…
Math•Q16
\((5 x^{3} - 3) - (- 4 x^{3} + 8)\) The given expression is equivalent to \(b x^{3} - 11\), where \(b\) is a constant. What is the value of…
Math•Q1
Which expression is equivalent to \(\frac{8 x (x - 7) - 3 (x - 7)}{2 x - 14}\), where \(x > 7\)?
Math•Q13
Which expression is equivalent to \((8 x^{3} + 8) - (x^{3} - 2)\)?
Math•Q9
Which expression is equivalent to \(6 x^{8} y^{2} + 12 x^{2} y^{2}\)?
Math•Q3
The expression \(90 y^{5} - 54 y^{4}\) is equivalent to \(r y^{4} (15 y - 9)\), where \(r\) is a constant. What is the value of \(r\)?
Math•Q17
Which expression is equivalent to \(\sqrt[7]{x^{9} y^{9}}\), where \(x\) and \(y\) are positive?
Math•Q8
Which expression is equivalent to \((7 x^{3} + 7 x) - (6 x^{3} - 3 x)\)?
Math•Q2
Which of the following expressions is equivalent to \(8 x^{10} - 8 x^{9} + 88 x\)?
Math•Q7
The expression \(\frac{24}{6 x + 42}\) is equivalent to \(\frac{4}{x + b}\), where b is a constant and \(x > 0\). What is the value of b ?

SSQB Equivalent expressions — Hard

SSQB Evaluating statistical claims: Observational studies and experiments — Hard

SSQB Form, Structure, and Sense — Easy