# Test: Algebraic expressions I - Challenging

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Question 1:   Simplify the expression ${x}^{2}+\left({x}^{2}+3\right)+x\left(2-0.5x\right)$
$1.5{x}^{2}+2x+3$
$0.5{x}^{2}+3$
$1.5{x}^{2}-2x+3$
$1.5{x}^{2}-2x-3$
Question 2:   Simplify: ${\left(-4{a}^{5}{b}^{3}\right)}^{2}\left(-\frac{1}{2}ab\right)$
$-8{a}^{11}{b}^{7}$
$-4{a}^{8}{b}^{6}$
$4{a}^{8}{b}^{6}$
$8{a}^{11}{b}^{7}$
Question 3:   Find $24%$ of $\left(2\frac{1}{7}+\frac{3}{14}\right):\left(4\frac{5}{7}\right)$
$1.2$
$0.12$
$12$
$120$
Question 4:   The difference in the squares of two numbers is 25, the sum of these numbers is also 25. Find these numbers.
Question 5:   Simplify: ${\left(1+{c}^{2}\right)}^{{}^{2}}-2{c}^{2}$
$1+c$
$1-c$
$1-{c}^{2}$
$1+{c}^{4}$
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