# Test: Algebraic expressions I - Ambitious

Double click on maths expressions to zoom
Question 1:   Multiply: $\frac{1}{3}a×1\frac{5}{7}b$
$\frac{4}{7}a$
$\frac{4}{7}ab$
$\frac{5}{21}ab$
 $1\frac{5}{21}ab$
Question 2:   If formula $\rho =\frac{m}{V}$ find $m$
$m=\frac{\rho }{V}$
$m=\frac{V}{\rho }$
$m=\rho V$
$m={\rho }^{2}V$
Question 3:   Simplify: $3{a}^{-7}×\frac{1}{3}{a}^{5}$
$3a$
${a}^{-2}$
$3{a}^{5}$
${a}^{12}$
Question 4:   Subtract: $17m5dm-3m7cm$
$14m43dm$
$14m2dm$
$14m43cm$
$14m2cm$
Question 5:   Multiply: $\left(3x-1\right)\left(9{x}^{2}+3x+1\right)$
$27{x}^{3}$
$27{x}^{3}-1$
$9{x}^{3}-1$
$9{x}^{2}-1$
Question 6:   Find $66%$ of $385$
$2541$
$254.1$
$25.41$
$2.541$
Question 7:   Rewrite in fraction form: ${\left(5{a}^{-5}c\right)}^{-1}$
$\frac{{a}^{5}}{5c}$
$\frac{5}{ac}$
$\frac{1}{5ac}$
$\frac{5}{{a}^{2}}c$
Question 8:   Reduce: $\frac{{c}^{2}-3}{c-\sqrt{3}}$
$c+\sqrt{3}$
${c}^{2}-3$
$c-\sqrt{3}$
${c}^{2}-\sqrt{3}$
Question 9:   Determine value of x for which expression $9x+2$ is two times larger from $3x+4$
$x=-1$
$x=-2$
$x=1$
$x=2$
Question 10:   Multiply: $\frac{{a}^{2}-{c}^{2}}{{a}^{2}+ac}×\frac{2a}{c-a}$
$2$
$2c$
$-2$
$2a$